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Finding the Fourth Proportional to 102,562.30, 153,843.45 and 98,625.70

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Solution

The fourth proportional to 102,562.30, 153,843.45 and 98,625.70 is: 147,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.30 : 153,843.45 = 98,625.70 : x
  2. Step 2: Convert to fraction form
    102,562.30/153,843.45 = 98,625.70/x
  3. Step 3: Cross multiply
    102,562.30x = 153,843.45 × 98,625.70
  4. Step 4: Simplify right side
    102,562.30x = 15,172,917,946.67
  5. Step 5: Solve for x
    x = 15,172,917,946.67/102,562.30
  6. Step 6: Final answer
    x = 147,938.55

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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.