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Finding the Fourth Proportional to 102,098.97, 153,148.46 and 31,983.75

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Solution

The fourth proportional to 102,098.97, 153,148.46 and 31,983.75 is: 47,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.97 : 153,148.46 = 31,983.75 : x
  2. Step 2: Convert to fraction form
    102,098.97/153,148.46 = 31,983.75/x
  3. Step 3: Cross multiply
    102,098.97x = 153,148.46 × 31,983.75
  4. Step 4: Simplify right side
    102,098.97x = 4,898,261,897.61
  5. Step 5: Solve for x
    x = 4,898,261,897.61/102,098.97
  6. Step 6: Final answer
    x = 47,975.63

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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.