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Finding the Fourth Proportional to 144,126, 198,877.68 and 83,689.20

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Solution

The fourth proportional to 144,126, 198,877.68 and 83,689.20 is: 115,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,126 : 198,877.68 = 83,689.20 : x
  2. Step 2: Convert to fraction form
    144,126/198,877.68 = 83,689.20/x
  3. Step 3: Cross multiply
    144,126x = 198,877.68 × 83,689.20
  4. Step 4: Simplify right side
    144,126x = 16,643,913,937.06
  5. Step 5: Solve for x
    x = 16,643,913,937.06/144,126
  6. Step 6: Final answer
    x = 115,481.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.