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Finding the Fourth Proportional to 67,031.78, 100,513.28 and 35,458.88

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Solution

The fourth proportional to 67,031.78, 100,513.28 and 35,458.88 is: 53,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,031.78 : 100,513.28 = 35,458.88 : x
  2. Step 2: Convert to fraction form
    67,031.78/100,513.28 = 35,458.88/x
  3. Step 3: Cross multiply
    67,031.78x = 100,513.28 × 35,458.88
  4. Step 4: Simplify right side
    67,031.78x = 3,564,087,654.07
  5. Step 5: Solve for x
    x = 3,564,087,654.07/67,031.78
  6. Step 6: Final answer
    x = 53,170.12

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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.