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Finding the Fourth Proportional to 100,294.72, 138,378.70 and 79,007.92

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Solution

The fourth proportional to 100,294.72, 138,378.70 and 79,007.92 is: 109,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.72 : 138,378.70 = 79,007.92 : x
  2. Step 2: Convert to fraction form
    100,294.72/138,378.70 = 79,007.92/x
  3. Step 3: Cross multiply
    100,294.72x = 138,378.70 × 79,007.92
  4. Step 4: Simplify right side
    100,294.72x = 10,933,013,259.30
  5. Step 5: Solve for x
    x = 10,933,013,259.30/100,294.72
  6. Step 6: Final answer
    x = 109,008.86

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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.