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Finding the Fourth Proportional to 137,242.64, 189,395.87 and 76,818.87

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Solution

The fourth proportional to 137,242.64, 189,395.87 and 76,818.87 is: 106,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,242.64 : 189,395.87 = 76,818.87 : x
  2. Step 2: Convert to fraction form
    137,242.64/189,395.87 = 76,818.87/x
  3. Step 3: Cross multiply
    137,242.64x = 189,395.87 × 76,818.87
  4. Step 4: Simplify right side
    137,242.64x = 14,549,176,331.97
  5. Step 5: Solve for x
    x = 14,549,176,331.97/137,242.64
  6. Step 6: Final answer
    x = 106,010.62

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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.