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Finding the Fourth Proportional to 172,120.32, 257,627.94 and 91,957.96

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Solution

The fourth proportional to 172,120.32, 257,627.94 and 91,957.96 is: 137,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,120.32 : 257,627.94 = 91,957.96 : x
  2. Step 2: Convert to fraction form
    172,120.32/257,627.94 = 91,957.96/x
  3. Step 3: Cross multiply
    172,120.32x = 257,627.94 × 91,957.96
  4. Step 4: Simplify right side
    172,120.32x = 23,690,939,801.40
  5. Step 5: Solve for x
    x = 23,690,939,801.40/172,120.32
  6. Step 6: Final answer
    x = 137,641.74

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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.