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Finding the Fourth Proportional to 98,431.85, 147,671.24 and 31,872

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Solution

The fourth proportional to 98,431.85, 147,671.24 and 31,872 is: 47,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,431.85 : 147,671.24 = 31,872 : x
  2. Step 2: Convert to fraction form
    98,431.85/147,671.24 = 31,872/x
  3. Step 3: Cross multiply
    98,431.85x = 147,671.24 × 31,872
  4. Step 4: Simplify right side
    98,431.85x = 4,706,577,601.92
  5. Step 5: Solve for x
    x = 4,706,577,601.92/98,431.85
  6. Step 6: Final answer
    x = 47,815.60

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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.