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Finding the Fourth Proportional to 78,508.55, 108,340.89 and 42,697.78

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Solution

The fourth proportional to 78,508.55, 108,340.89 and 42,697.78 is: 58,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.55 : 108,340.89 = 42,697.78 : x
  2. Step 2: Convert to fraction form
    78,508.55/108,340.89 = 42,697.78/x
  3. Step 3: Cross multiply
    78,508.55x = 108,340.89 × 42,697.78
  4. Step 4: Simplify right side
    78,508.55x = 4,625,915,486.22
  5. Step 5: Solve for x
    x = 4,625,915,486.22/78,508.55
  6. Step 6: Final answer
    x = 58,922.44

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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.