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Finding the Fourth Proportional to 100,294.29, 138,404.88 and 54,352.95

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Solution

The fourth proportional to 100,294.29, 138,404.88 and 54,352.95 is: 75,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.29 : 138,404.88 = 54,352.95 : x
  2. Step 2: Convert to fraction form
    100,294.29/138,404.88 = 54,352.95/x
  3. Step 3: Cross multiply
    100,294.29x = 138,404.88 × 54,352.95
  4. Step 4: Simplify right side
    100,294.29x = 7,522,712,830.37
  5. Step 5: Solve for x
    x = 7,522,712,830.37/100,294.29
  6. Step 6: Final answer
    x = 75,006.39

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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.