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Finding the Fourth Proportional to 76,121, 105,046.98 and 42,587

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Solution

The fourth proportional to 76,121, 105,046.98 and 42,587 is: 58,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,121 : 105,046.98 = 42,587 : x
  2. Step 2: Convert to fraction form
    76,121/105,046.98 = 42,587/x
  3. Step 3: Cross multiply
    76,121x = 105,046.98 × 42,587
  4. Step 4: Simplify right side
    76,121x = 4,473,635,737.26
  5. Step 5: Solve for x
    x = 4,473,635,737.26/76,121
  6. Step 6: Final answer
    x = 58,770.06

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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.