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Finding the Fourth Proportional to 73,981.80, 102,087.84 and 42,149.88

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Solution

The fourth proportional to 73,981.80, 102,087.84 and 42,149.88 is: 58,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,981.80 : 102,087.84 = 42,149.88 : x
  2. Step 2: Convert to fraction form
    73,981.80/102,087.84 = 42,149.88/x
  3. Step 3: Cross multiply
    73,981.80x = 102,087.84 × 42,149.88
  4. Step 4: Simplify right side
    73,981.80x = 4,302,990,205.46
  5. Step 5: Solve for x
    x = 4,302,990,205.46/73,981.80
  6. Step 6: Final answer
    x = 58,162.82

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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.