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Finding the Fourth Proportional to 149,790, 224,857.80 and 76,073.52

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Solution

The fourth proportional to 149,790, 224,857.80 and 76,073.52 is: 114,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,790 : 224,857.80 = 76,073.52 : x
  2. Step 2: Convert to fraction form
    149,790/224,857.80 = 76,073.52/x
  3. Step 3: Cross multiply
    149,790x = 224,857.80 × 76,073.52
  4. Step 4: Simplify right side
    149,790x = 17,105,724,345.46
  5. Step 5: Solve for x
    x = 17,105,724,345.46/149,790
  6. Step 6: Final answer
    x = 114,198.04

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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.