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Finding the Fourth Proportional to 172,462,912.15, 258,694,368.23 and 172,462,912.15

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Solution

The fourth proportional to 172,462,912.15, 258,694,368.23 and 172,462,912.15 is: 258,694,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,462,912.15 : 258,694,368.23 = 172,462,912.15 : x
  2. Step 2: Convert to fraction form
    172,462,912.15/258,694,368.23 = 172,462,912.15/x
  3. Step 3: Cross multiply
    172,462,912.15x = 258,694,368.23 × 172,462,912.15
  4. Step 4: Simplify right side
    172,462,912.15x = 44,615,184,100,887,928
  5. Step 5: Solve for x
    x = 44,615,184,100,887,928/172,462,912.15
  6. Step 6: Final answer
    x = 258,694,368.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.