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Finding the Fourth Proportional to 70,239, 96,929.82 and 40,431

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Solution

The fourth proportional to 70,239, 96,929.82 and 40,431 is: 55,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,239 : 96,929.82 = 40,431 : x
  2. Step 2: Convert to fraction form
    70,239/96,929.82 = 40,431/x
  3. Step 3: Cross multiply
    70,239x = 96,929.82 × 40,431
  4. Step 4: Simplify right side
    70,239x = 3,918,969,552.42
  5. Step 5: Solve for x
    x = 3,918,969,552.42/70,239
  6. Step 6: Final answer
    x = 55,794.78

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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.