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Finding the Fourth Proportional to 150,557.31, 207,769.07 and 83,489.31

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Solution

The fourth proportional to 150,557.31, 207,769.07 and 83,489.31 is: 115,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,557.31 : 207,769.07 = 83,489.31 : x
  2. Step 2: Convert to fraction form
    150,557.31/207,769.07 = 83,489.31/x
  3. Step 3: Cross multiply
    150,557.31x = 207,769.07 × 83,489.31
  4. Step 4: Simplify right side
    150,557.31x = 17,346,495,876.20
  5. Step 5: Solve for x
    x = 17,346,495,876.20/150,557.31
  6. Step 6: Final answer
    x = 115,215.24

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Why These Related Problems?

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