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Finding the Fourth Proportional to 136,800, 205,031.52 and 97,142.40

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Solution

The fourth proportional to 136,800, 205,031.52 and 97,142.40 is: 145,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,800 : 205,031.52 = 97,142.40 : x
  2. Step 2: Convert to fraction form
    136,800/205,031.52 = 97,142.40/x
  3. Step 3: Cross multiply
    136,800x = 205,031.52 × 97,142.40
  4. Step 4: Simplify right side
    136,800x = 19,917,253,928.45
  5. Step 5: Solve for x
    x = 19,917,253,928.45/136,800
  6. Step 6: Final answer
    x = 145,593.96

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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.