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Finding the Fourth Proportional to 151,459.92, 209,038.86 and 115,581.78

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Solution

The fourth proportional to 151,459.92, 209,038.86 and 115,581.78 is: 159,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,459.92 : 209,038.86 = 115,581.78 : x
  2. Step 2: Convert to fraction form
    151,459.92/209,038.86 = 115,581.78/x
  3. Step 3: Cross multiply
    151,459.92x = 209,038.86 × 115,581.78
  4. Step 4: Simplify right side
    151,459.92x = 24,161,083,527.97
  5. Step 5: Solve for x
    x = 24,161,083,527.97/151,459.92
  6. Step 6: Final answer
    x = 159,521.30

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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.