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Finding the Fourth Proportional to 128,522.70, 192,856.95 and 49,642.47

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Solution

The fourth proportional to 128,522.70, 192,856.95 and 49,642.47 is: 74,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,522.70 : 192,856.95 = 49,642.47 : x
  2. Step 2: Convert to fraction form
    128,522.70/192,856.95 = 49,642.47/x
  3. Step 3: Cross multiply
    128,522.70x = 192,856.95 × 49,642.47
  4. Step 4: Simplify right side
    128,522.70x = 9,573,895,354.67
  5. Step 5: Solve for x
    x = 9,573,895,354.67/128,522.70
  6. Step 6: Final answer
    x = 74,491.86

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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.