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Finding the Fourth Proportional to 100,402.62, 138,289.56 and 74,827.17

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Solution

The fourth proportional to 100,402.62, 138,289.56 and 74,827.17 is: 103,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,402.62 : 138,289.56 = 74,827.17 : x
  2. Step 2: Convert to fraction form
    100,402.62/138,289.56 = 74,827.17/x
  3. Step 3: Cross multiply
    100,402.62x = 138,289.56 × 74,827.17
  4. Step 4: Simplify right side
    100,402.62x = 10,347,816,134.74
  5. Step 5: Solve for x
    x = 10,347,816,134.74/100,402.62
  6. Step 6: Final answer
    x = 103,063.21

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1.5x scale

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.