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Finding the Fourth Proportional to 137,168.57, 189,322.26 and 83,470.89

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Solution

The fourth proportional to 137,168.57, 189,322.26 and 83,470.89 is: 115,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,168.57 : 189,322.26 = 83,470.89 : x
  2. Step 2: Convert to fraction form
    137,168.57/189,322.26 = 83,470.89/x
  3. Step 3: Cross multiply
    137,168.57x = 189,322.26 × 83,470.89
  4. Step 4: Simplify right side
    137,168.57x = 15,802,897,539.01
  5. Step 5: Solve for x
    x = 15,802,897,539.01/137,168.57
  6. Step 6: Final answer
    x = 115,207.87

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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.