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Finding the Fourth Proportional to 137,371.76, 189,560.28 and 77,755.76

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Solution

The fourth proportional to 137,371.76, 189,560.28 and 77,755.76 is: 107,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,371.76 : 189,560.28 = 77,755.76 : x
  2. Step 2: Convert to fraction form
    137,371.76/189,560.28 = 77,755.76/x
  3. Step 3: Cross multiply
    137,371.76x = 189,560.28 × 77,755.76
  4. Step 4: Simplify right side
    137,371.76x = 14,739,403,637.21
  5. Step 5: Solve for x
    x = 14,739,403,637.21/137,371.76
  6. Step 6: Final answer
    x = 107,295.73

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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.