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Finding the Fourth Proportional to 76,981, 115,474.86 and 24,394.36

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Solution

The fourth proportional to 76,981, 115,474.86 and 24,394.36 is: 36,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,981 : 115,474.86 = 24,394.36 : x
  2. Step 2: Convert to fraction form
    76,981/115,474.86 = 24,394.36/x
  3. Step 3: Cross multiply
    76,981x = 115,474.86 × 24,394.36
  4. Step 4: Simplify right side
    76,981x = 2,816,935,305.79
  5. Step 5: Solve for x
    x = 2,816,935,305.79/76,981
  6. Step 6: Final answer
    x = 36,592.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.