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Finding the Fourth Proportional to 137,140.94, 205,555.25 and 85,873.56

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Solution

The fourth proportional to 137,140.94, 205,555.25 and 85,873.56 is: 128,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,140.94 : 205,555.25 = 85,873.56 : x
  2. Step 2: Convert to fraction form
    137,140.94/205,555.25 = 85,873.56/x
  3. Step 3: Cross multiply
    137,140.94x = 205,555.25 × 85,873.56
  4. Step 4: Simplify right side
    137,140.94x = 17,651,761,308.87
  5. Step 5: Solve for x
    x = 17,651,761,308.87/137,140.94
  6. Step 6: Final answer
    x = 128,712.56

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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.