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Finding the Fourth Proportional to 151,481, 209,045.24 and 83,500.59

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Solution

The fourth proportional to 151,481, 209,045.24 and 83,500.59 is: 115,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,481 : 209,045.24 = 83,500.59 : x
  2. Step 2: Convert to fraction form
    151,481/209,045.24 = 83,500.59/x
  3. Step 3: Cross multiply
    151,481x = 209,045.24 × 83,500.59
  4. Step 4: Simplify right side
    151,481x = 17,455,400,876.69
  5. Step 5: Solve for x
    x = 17,455,400,876.69/151,481
  6. Step 6: Final answer
    x = 115,231.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.