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Finding the Fourth Proportional to 98,610.30, 147,915.45 and 81,989.10

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Solution

The fourth proportional to 98,610.30, 147,915.45 and 81,989.10 is: 122,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,610.30 : 147,915.45 = 81,989.10 : x
  2. Step 2: Convert to fraction form
    98,610.30/147,915.45 = 81,989.10/x
  3. Step 3: Cross multiply
    98,610.30x = 147,915.45 × 81,989.10
  4. Step 4: Simplify right side
    98,610.30x = 12,127,454,621.60
  5. Step 5: Solve for x
    x = 12,127,454,621.60/98,610.30
  6. Step 6: Final answer
    x = 122,983.65

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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.