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Finding the Fourth Proportional to 98,457.25, 147,654.88 and 31,882

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Solution

The fourth proportional to 98,457.25, 147,654.88 and 31,882 is: 47,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,457.25 : 147,654.88 = 31,882 : x
  2. Step 2: Convert to fraction form
    98,457.25/147,654.88 = 31,882/x
  3. Step 3: Cross multiply
    98,457.25x = 147,654.88 × 31,882
  4. Step 4: Simplify right side
    98,457.25x = 4,707,532,884.16
  5. Step 5: Solve for x
    x = 4,707,532,884.16/98,457.25
  6. Step 6: Final answer
    x = 47,812.96

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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.