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Finding the Fourth Proportional to 144,139.72, 198,954.84 and 83,737.48

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Solution

The fourth proportional to 144,139.72, 198,954.84 and 83,737.48 is: 115,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,139.72 : 198,954.84 = 83,737.48 : x
  2. Step 2: Convert to fraction form
    144,139.72/198,954.84 = 83,737.48/x
  3. Step 3: Cross multiply
    144,139.72x = 198,954.84 × 83,737.48
  4. Step 4: Simplify right side
    144,139.72x = 16,659,976,935.40
  5. Step 5: Solve for x
    x = 16,659,976,935.40/144,139.72
  6. Step 6: Final answer
    x = 115,582.14

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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.