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Finding the Fourth Proportional to 138,497.10, 191,125.70 and 74,834.90

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Solution

The fourth proportional to 138,497.10, 191,125.70 and 74,834.90 is: 103,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,497.10 : 191,125.70 = 74,834.90 : x
  2. Step 2: Convert to fraction form
    138,497.10/191,125.70 = 74,834.90/x
  3. Step 3: Cross multiply
    138,497.10x = 191,125.70 × 74,834.90
  4. Step 4: Simplify right side
    138,497.10x = 14,302,872,646.93
  5. Step 5: Solve for x
    x = 14,302,872,646.93/138,497.10
  6. Step 6: Final answer
    x = 103,272.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.