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Finding the Fourth Proportional to 137,549.43, 189,815.78 and 77,119.88

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Solution

The fourth proportional to 137,549.43, 189,815.78 and 77,119.88 is: 106,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,549.43 : 189,815.78 = 77,119.88 : x
  2. Step 2: Convert to fraction form
    137,549.43/189,815.78 = 77,119.88/x
  3. Step 3: Cross multiply
    137,549.43x = 189,815.78 × 77,119.88
  4. Step 4: Simplify right side
    137,549.43x = 14,638,568,841.03
  5. Step 5: Solve for x
    x = 14,638,568,841.03/137,549.43
  6. Step 6: Final answer
    x = 106,424.06

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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.