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Finding the Fourth Proportional to 77,572.17, 116,355.94 and 21,415.70

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Solution

The fourth proportional to 77,572.17, 116,355.94 and 21,415.70 is: 32,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572.17 : 116,355.94 = 21,415.70 : x
  2. Step 2: Convert to fraction form
    77,572.17/116,355.94 = 21,415.70/x
  3. Step 3: Cross multiply
    77,572.17x = 116,355.94 × 21,415.70
  4. Step 4: Simplify right side
    77,572.17x = 2,491,844,359.78
  5. Step 5: Solve for x
    x = 2,491,844,359.78/77,572.17
  6. Step 6: Final answer
    x = 32,122.92

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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.