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Finding the Fourth Proportional to 78,290.76, 117,532.92 and 74,157.32

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Solution

The fourth proportional to 78,290.76, 117,532.92 and 74,157.32 is: 111,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,290.76 : 117,532.92 = 74,157.32 : x
  2. Step 2: Convert to fraction form
    78,290.76/117,532.92 = 74,157.32/x
  3. Step 3: Cross multiply
    78,290.76x = 117,532.92 × 74,157.32
  4. Step 4: Simplify right side
    78,290.76x = 8,715,926,358.97
  5. Step 5: Solve for x
    x = 8,715,926,358.97/78,290.76
  6. Step 6: Final answer
    x = 111,327.65

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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.