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Finding the Fourth Proportional to 78,948.38, 108,898.34 and 47,099.18

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Solution

The fourth proportional to 78,948.38, 108,898.34 and 47,099.18 is: 64,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,948.38 : 108,898.34 = 47,099.18 : x
  2. Step 2: Convert to fraction form
    78,948.38/108,898.34 = 47,099.18/x
  3. Step 3: Cross multiply
    78,948.38x = 108,898.34 × 47,099.18
  4. Step 4: Simplify right side
    78,948.38x = 5,129,022,517.36
  5. Step 5: Solve for x
    x = 5,129,022,517.36/78,948.38
  6. Step 6: Final answer
    x = 64,966.79

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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.