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Finding the Fourth Proportional to 172,124, 258,184 and 121,314.32

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Solution

The fourth proportional to 172,124, 258,184 and 121,314.32 is: 181,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,124 : 258,184 = 121,314.32 : x
  2. Step 2: Convert to fraction form
    172,124/258,184 = 121,314.32/x
  3. Step 3: Cross multiply
    172,124x = 258,184 × 121,314.32
  4. Step 4: Simplify right side
    172,124x = 31,321,416,394.88
  5. Step 5: Solve for x
    x = 31,321,416,394.88/172,124
  6. Step 6: Final answer
    x = 181,970.07

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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.