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Finding the Fourth Proportional to 225,708.61, 338,456.79 and 83,455.60

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Solution

The fourth proportional to 225,708.61, 338,456.79 and 83,455.60 is: 125,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,708.61 : 338,456.79 = 83,455.60 : x
  2. Step 2: Convert to fraction form
    225,708.61/338,456.79 = 83,455.60/x
  3. Step 3: Cross multiply
    225,708.61x = 338,456.79 × 83,455.60
  4. Step 4: Simplify right side
    225,708.61x = 28,246,114,483.52
  5. Step 5: Solve for x
    x = 28,246,114,483.52/225,708.61
  6. Step 6: Final answer
    x = 125,144.16

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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.