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Finding the Fourth Proportional to 78,140.87, 107,834.68 and 42,330.79

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Solution

The fourth proportional to 78,140.87, 107,834.68 and 42,330.79 is: 58,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140.87 : 107,834.68 = 42,330.79 : x
  2. Step 2: Convert to fraction form
    78,140.87/107,834.68 = 42,330.79/x
  3. Step 3: Cross multiply
    78,140.87x = 107,834.68 × 42,330.79
  4. Step 4: Simplify right side
    78,140.87x = 4,564,727,193.80
  5. Step 5: Solve for x
    x = 4,564,727,193.80/78,140.87
  6. Step 6: Final answer
    x = 58,416.64

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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.