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Finding the Fourth Proportional to 137,141.06, 205,555.44 and 85,873.69

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Solution

The fourth proportional to 137,141.06, 205,555.44 and 85,873.69 is: 128,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.06 : 205,555.44 = 85,873.69 : x
  2. Step 2: Convert to fraction form
    137,141.06/205,555.44 = 85,873.69/x
  3. Step 3: Cross multiply
    137,141.06x = 205,555.44 × 85,873.69
  4. Step 4: Simplify right side
    137,141.06x = 17,651,803,104.60
  5. Step 5: Solve for x
    x = 17,651,803,104.60/137,141.06
  6. Step 6: Final answer
    x = 128,712.75

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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.