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Finding the Fourth Proportional to 151,657.88, 209,287.89 and 84,589.88

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Solution

The fourth proportional to 151,657.88, 209,287.89 and 84,589.88 is: 116,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,657.88 : 209,287.89 = 84,589.88 : x
  2. Step 2: Convert to fraction form
    151,657.88/209,287.89 = 84,589.88/x
  3. Step 3: Cross multiply
    151,657.88x = 209,287.89 × 84,589.88
  4. Step 4: Simplify right side
    151,657.88x = 17,703,636,454.11
  5. Step 5: Solve for x
    x = 17,703,636,454.11/151,657.88
  6. Step 6: Final answer
    x = 116,734.04

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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.