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Finding the Fourth Proportional to 70,839.97, 106,284.56 and 31,424.76

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Solution

The fourth proportional to 70,839.97, 106,284.56 and 31,424.76 is: 47,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,839.97 : 106,284.56 = 31,424.76 : x
  2. Step 2: Convert to fraction form
    70,839.97/106,284.56 = 31,424.76/x
  3. Step 3: Cross multiply
    70,839.97x = 106,284.56 × 31,424.76
  4. Step 4: Simplify right side
    70,839.97x = 3,339,966,632.58
  5. Step 5: Solve for x
    x = 3,339,966,632.58/70,839.97
  6. Step 6: Final answer
    x = 47,148.05

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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.