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Finding the Fourth Proportional to 78,778, 108,717.96 and 45,246.16

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Solution

The fourth proportional to 78,778, 108,717.96 and 45,246.16 is: 62,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,778 : 108,717.96 = 45,246.16 : x
  2. Step 2: Convert to fraction form
    78,778/108,717.96 = 45,246.16/x
  3. Step 3: Cross multiply
    78,778x = 108,717.96 × 45,246.16
  4. Step 4: Simplify right side
    78,778x = 4,919,070,213.03
  5. Step 5: Solve for x
    x = 4,919,070,213.03/78,778
  6. Step 6: Final answer
    x = 62,442.18

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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.