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Finding the Fourth Proportional to 137,427.28, 205,904.19 and 107,429.87

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Solution

The fourth proportional to 137,427.28, 205,904.19 and 107,429.87 is: 160,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,427.28 : 205,904.19 = 107,429.87 : x
  2. Step 2: Convert to fraction form
    137,427.28/205,904.19 = 107,429.87/x
  3. Step 3: Cross multiply
    137,427.28x = 205,904.19 × 107,429.87
  4. Step 4: Simplify right side
    137,427.28x = 22,120,260,364.16
  5. Step 5: Solve for x
    x = 22,120,260,364.16/137,427.28
  6. Step 6: Final answer
    x = 160,959.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.