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Finding the Fourth Proportional to 115,148, 172,647.78 and 48,570.32

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Solution

The fourth proportional to 115,148, 172,647.78 and 48,570.32 is: 72,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,148 : 172,647.78 = 48,570.32 : x
  2. Step 2: Convert to fraction form
    115,148/172,647.78 = 48,570.32/x
  3. Step 3: Cross multiply
    115,148x = 172,647.78 × 48,570.32
  4. Step 4: Simplify right side
    115,148x = 8,385,557,921.89
  5. Step 5: Solve for x
    x = 8,385,557,921.89/115,148
  6. Step 6: Final answer
    x = 72,824.17

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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.