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Finding the Fourth Proportional to 78,200.73, 117,301.12 and 28,279.71

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Solution

The fourth proportional to 78,200.73, 117,301.12 and 28,279.71 is: 42,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.73 : 117,301.12 = 28,279.71 : x
  2. Step 2: Convert to fraction form
    78,200.73/117,301.12 = 28,279.71/x
  3. Step 3: Cross multiply
    78,200.73x = 117,301.12 × 28,279.71
  4. Step 4: Simplify right side
    78,200.73x = 3,317,241,585.58
  5. Step 5: Solve for x
    x = 3,317,241,585.58/78,200.73
  6. Step 6: Final answer
    x = 42,419.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.