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Finding the Fourth Proportional to 151,657.28, 209,285.69 and 83,674.86

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Solution

The fourth proportional to 151,657.28, 209,285.69 and 83,674.86 is: 115,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,657.28 : 209,285.69 = 83,674.86 : x
  2. Step 2: Convert to fraction form
    151,657.28/209,285.69 = 83,674.86/x
  3. Step 3: Cross multiply
    151,657.28x = 209,285.69 × 83,674.86
  4. Step 4: Simplify right side
    151,657.28x = 17,511,950,078.23
  5. Step 5: Solve for x
    x = 17,511,950,078.23/151,657.28
  6. Step 6: Final answer
    x = 115,470.55

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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.