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Finding the Fourth Proportional to 78,511.52, 108,347.27 and 42,701.78

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Solution

The fourth proportional to 78,511.52, 108,347.27 and 42,701.78 is: 58,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,511.52 : 108,347.27 = 42,701.78 : x
  2. Step 2: Convert to fraction form
    78,511.52/108,347.27 = 42,701.78/x
  3. Step 3: Cross multiply
    78,511.52x = 108,347.27 × 42,701.78
  4. Step 4: Simplify right side
    78,511.52x = 4,626,620,531.90
  5. Step 5: Solve for x
    x = 4,626,620,531.90/78,511.52
  6. Step 6: Final answer
    x = 58,929.19

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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.