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Finding the Fourth Proportional to 198,654.93, 297,975.72 and 86,335.16

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Solution

The fourth proportional to 198,654.93, 297,975.72 and 86,335.16 is: 129,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,654.93 : 297,975.72 = 86,335.16 : x
  2. Step 2: Convert to fraction form
    198,654.93/297,975.72 = 86,335.16/x
  3. Step 3: Cross multiply
    198,654.93x = 297,975.72 × 86,335.16
  4. Step 4: Simplify right side
    198,654.93x = 25,725,781,030.64
  5. Step 5: Solve for x
    x = 25,725,781,030.64/198,654.93
  6. Step 6: Final answer
    x = 129,499.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.