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Finding the Fourth Proportional to 100,478, 138,666.12 and 55,766

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Solution

The fourth proportional to 100,478, 138,666.12 and 55,766 is: 76,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,478 : 138,666.12 = 55,766 : x
  2. Step 2: Convert to fraction form
    100,478/138,666.12 = 55,766/x
  3. Step 3: Cross multiply
    100,478x = 138,666.12 × 55,766
  4. Step 4: Simplify right side
    100,478x = 7,732,854,847.92
  5. Step 5: Solve for x
    x = 7,732,854,847.92/100,478
  6. Step 6: Final answer
    x = 76,960.68

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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.