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Finding the Fourth Proportional to 137,512.70, 189,769.47 and 83,799.98

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Solution

The fourth proportional to 137,512.70, 189,769.47 and 83,799.98 is: 115,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,512.70 : 189,769.47 = 83,799.98 : x
  2. Step 2: Convert to fraction form
    137,512.70/189,769.47 = 83,799.98/x
  3. Step 3: Cross multiply
    137,512.70x = 189,769.47 × 83,799.98
  4. Step 4: Simplify right side
    137,512.70x = 15,902,677,790.61
  5. Step 5: Solve for x
    x = 15,902,677,790.61/137,512.70
  6. Step 6: Final answer
    x = 115,645.16

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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.