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Finding the Fourth Proportional to 137,132.40, 205,719.12 and 43,659.12

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Solution

The fourth proportional to 137,132.40, 205,719.12 and 43,659.12 is: 65,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,132.40 : 205,719.12 = 43,659.12 : x
  2. Step 2: Convert to fraction form
    137,132.40/205,719.12 = 43,659.12/x
  3. Step 3: Cross multiply
    137,132.40x = 205,719.12 × 43,659.12
  4. Step 4: Simplify right side
    137,132.40x = 8,981,515,746.37
  5. Step 5: Solve for x
    x = 8,981,515,746.37/137,132.40
  6. Step 6: Final answer
    x = 65,495.21

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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.