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Finding the Fourth Proportional to 206,431.52, 309,148.56 and 117,415.16

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Solution

The fourth proportional to 206,431.52, 309,148.56 and 117,415.16 is: 175,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,431.52 : 309,148.56 = 117,415.16 : x
  2. Step 2: Convert to fraction form
    206,431.52/309,148.56 = 117,415.16/x
  3. Step 3: Cross multiply
    206,431.52x = 309,148.56 × 117,415.16
  4. Step 4: Simplify right side
    206,431.52x = 36,298,727,636.17
  5. Step 5: Solve for x
    x = 36,298,727,636.17/206,431.52
  6. Step 6: Final answer
    x = 175,839.08

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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.