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Finding the Fourth Proportional to 98,731.80, 148,097.70 and 92,122.20

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Solution

The fourth proportional to 98,731.80, 148,097.70 and 92,122.20 is: 138,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,731.80 : 148,097.70 = 92,122.20 : x
  2. Step 2: Convert to fraction form
    98,731.80/148,097.70 = 92,122.20/x
  3. Step 3: Cross multiply
    98,731.80x = 148,097.70 × 92,122.20
  4. Step 4: Simplify right side
    98,731.80x = 13,643,085,938.94
  5. Step 5: Solve for x
    x = 13,643,085,938.94/98,731.80
  6. Step 6: Final answer
    x = 138,183.30

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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.