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Finding the Fourth Proportional to 98,431.71, 147,671.10 and 31,871.88

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Solution

The fourth proportional to 98,431.71, 147,671.10 and 31,871.88 is: 47,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,431.71 : 147,671.10 = 31,871.88 : x
  2. Step 2: Convert to fraction form
    98,431.71/147,671.10 = 31,871.88/x
  3. Step 3: Cross multiply
    98,431.71x = 147,671.10 × 31,871.88
  4. Step 4: Simplify right side
    98,431.71x = 4,706,555,578.67
  5. Step 5: Solve for x
    x = 4,706,555,578.67/98,431.71
  6. Step 6: Final answer
    x = 47,815.44

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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.