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Finding the Fourth Proportional to 98,146.55, 147,219.88 and 31,586.68

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Solution

The fourth proportional to 98,146.55, 147,219.88 and 31,586.68 is: 47,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,146.55 : 147,219.88 = 31,586.68 : x
  2. Step 2: Convert to fraction form
    98,146.55/147,219.88 = 31,586.68/x
  3. Step 3: Cross multiply
    98,146.55x = 147,219.88 × 31,586.68
  4. Step 4: Simplify right side
    98,146.55x = 4,650,187,239.20
  5. Step 5: Solve for x
    x = 4,650,187,239.20/98,146.55
  6. Step 6: Final answer
    x = 47,380.04

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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.