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Finding the Fourth Proportional to 78,767.40, 108,697.68 and 42,957.48

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Solution

The fourth proportional to 78,767.40, 108,697.68 and 42,957.48 is: 59,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,767.40 : 108,697.68 = 42,957.48 : x
  2. Step 2: Convert to fraction form
    78,767.40/108,697.68 = 42,957.48/x
  3. Step 3: Cross multiply
    78,767.40x = 108,697.68 × 42,957.48
  4. Step 4: Simplify right side
    78,767.40x = 4,669,378,414.65
  5. Step 5: Solve for x
    x = 4,669,378,414.65/78,767.40
  6. Step 6: Final answer
    x = 59,280.60

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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.