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Finding the Fourth Proportional to 70,139, 96,791.82 and 40,331

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Solution

The fourth proportional to 70,139, 96,791.82 and 40,331 is: 55,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,139 : 96,791.82 = 40,331 : x
  2. Step 2: Convert to fraction form
    70,139/96,791.82 = 40,331/x
  3. Step 3: Cross multiply
    70,139x = 96,791.82 × 40,331
  4. Step 4: Simplify right side
    70,139x = 3,903,710,892.42
  5. Step 5: Solve for x
    x = 3,903,710,892.42/70,139
  6. Step 6: Final answer
    x = 55,656.78

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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.