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Finding the Fourth Proportional to 98,387.14, 147,599.67 and 31,843.78

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Solution

The fourth proportional to 98,387.14, 147,599.67 and 31,843.78 is: 47,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,387.14 : 147,599.67 = 31,843.78 : x
  2. Step 2: Convert to fraction form
    98,387.14/147,599.67 = 31,843.78/x
  3. Step 3: Cross multiply
    98,387.14x = 147,599.67 × 31,843.78
  4. Step 4: Simplify right side
    98,387.14x = 4,700,131,419.55
  5. Step 5: Solve for x
    x = 4,700,131,419.55/98,387.14
  6. Step 6: Final answer
    x = 47,771.81

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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.