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Finding the Fourth Proportional to 78,398.60, 108,082.94 and 53,868.66

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Solution

The fourth proportional to 78,398.60, 108,082.94 and 53,868.66 is: 74,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,398.60 : 108,082.94 = 53,868.66 : x
  2. Step 2: Convert to fraction form
    78,398.60/108,082.94 = 53,868.66/x
  3. Step 3: Cross multiply
    78,398.60x = 108,082.94 × 53,868.66
  4. Step 4: Simplify right side
    78,398.60x = 5,822,283,146.66
  5. Step 5: Solve for x
    x = 5,822,283,146.66/78,398.60
  6. Step 6: Final answer
    x = 74,265.14

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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.