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Finding the Fourth Proportional to 78,332.70, 108,098.10 and 42,524.04

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Solution

The fourth proportional to 78,332.70, 108,098.10 and 42,524.04 is: 58,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,332.70 : 108,098.10 = 42,524.04 : x
  2. Step 2: Convert to fraction form
    78,332.70/108,098.10 = 42,524.04/x
  3. Step 3: Cross multiply
    78,332.70x = 108,098.10 × 42,524.04
  4. Step 4: Simplify right side
    78,332.70x = 4,596,767,928.32
  5. Step 5: Solve for x
    x = 4,596,767,928.32/78,332.70
  6. Step 6: Final answer
    x = 58,682.62

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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.