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Finding the Fourth Proportional to 151,722.66, 209,377.14 and 84,654.66

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Solution

The fourth proportional to 151,722.66, 209,377.14 and 84,654.66 is: 116,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,722.66 : 209,377.14 = 84,654.66 : x
  2. Step 2: Convert to fraction form
    151,722.66/209,377.14 = 84,654.66/x
  3. Step 3: Cross multiply
    151,722.66x = 209,377.14 × 84,654.66
  4. Step 4: Simplify right side
    151,722.66x = 17,724,750,598.47
  5. Step 5: Solve for x
    x = 17,724,750,598.47/151,722.66
  6. Step 6: Final answer
    x = 116,823.36

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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.