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Finding the Fourth Proportional to 151,657.09, 209,286.20 and 83,678.30

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Solution

The fourth proportional to 151,657.09, 209,286.20 and 83,678.30 is: 115,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,657.09 : 209,286.20 = 83,678.30 : x
  2. Step 2: Convert to fraction form
    151,657.09/209,286.20 = 83,678.30/x
  3. Step 3: Cross multiply
    151,657.09x = 209,286.20 × 83,678.30
  4. Step 4: Simplify right side
    151,657.09x = 17,512,711,964.64
  5. Step 5: Solve for x
    x = 17,512,711,964.64/151,657.09
  6. Step 6: Final answer
    x = 115,475.72

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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.