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Finding the Fourth Proportional to 144,143.76, 198,960.40 and 83,741.52

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Solution

The fourth proportional to 144,143.76, 198,960.40 and 83,741.52 is: 115,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,143.76 : 198,960.40 = 83,741.52 : x
  2. Step 2: Convert to fraction form
    144,143.76/198,960.40 = 83,741.52/x
  3. Step 3: Cross multiply
    144,143.76x = 198,960.40 × 83,741.52
  4. Step 4: Simplify right side
    144,143.76x = 16,661,246,315.81
  5. Step 5: Solve for x
    x = 16,661,246,315.81/144,143.76
  6. Step 6: Final answer
    x = 115,587.70

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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.