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Finding the Fourth Proportional to 77,311.20, 115,966.80 and 21,151.20

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Solution

The fourth proportional to 77,311.20, 115,966.80 and 21,151.20 is: 31,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311.20 : 115,966.80 = 21,151.20 : x
  2. Step 2: Convert to fraction form
    77,311.20/115,966.80 = 21,151.20/x
  3. Step 3: Cross multiply
    77,311.20x = 115,966.80 × 21,151.20
  4. Step 4: Simplify right side
    77,311.20x = 2,452,836,980.16
  5. Step 5: Solve for x
    x = 2,452,836,980.16/77,311.20
  6. Step 6: Final answer
    x = 31,726.80

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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.