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Finding the Fourth Proportional to 77,462.58, 116,181.70 and 21,306.90

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Solution

The fourth proportional to 77,462.58, 116,181.70 and 21,306.90 is: 31,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,462.58 : 116,181.70 = 21,306.90 : x
  2. Step 2: Convert to fraction form
    77,462.58/116,181.70 = 21,306.90/x
  3. Step 3: Cross multiply
    77,462.58x = 116,181.70 × 21,306.90
  4. Step 4: Simplify right side
    77,462.58x = 2,475,471,863.73
  5. Step 5: Solve for x
    x = 2,475,471,863.73/77,462.58
  6. Step 6: Final answer
    x = 31,957.00

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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.