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Finding the Fourth Proportional to 103,462.29, 142,791.12 and 63,167.40

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Solution

The fourth proportional to 103,462.29, 142,791.12 and 63,167.40 is: 87,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,462.29 : 142,791.12 = 63,167.40 : x
  2. Step 2: Convert to fraction form
    103,462.29/142,791.12 = 63,167.40/x
  3. Step 3: Cross multiply
    103,462.29x = 142,791.12 × 63,167.40
  4. Step 4: Simplify right side
    103,462.29x = 9,019,743,793.49
  5. Step 5: Solve for x
    x = 9,019,743,793.49/103,462.29
  6. Step 6: Final answer
    x = 87,179.05

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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.