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Finding the Fourth Proportional to 272,257.60, 408,094.80 and 103,712.80

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Solution

The fourth proportional to 272,257.60, 408,094.80 and 103,712.80 is: 155,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,257.60 : 408,094.80 = 103,712.80 : x
  2. Step 2: Convert to fraction form
    272,257.60/408,094.80 = 103,712.80/x
  3. Step 3: Cross multiply
    272,257.60x = 408,094.80 × 103,712.80
  4. Step 4: Simplify right side
    272,257.60x = 42,324,654,373.44
  5. Step 5: Solve for x
    x = 42,324,654,373.44/272,257.60
  6. Step 6: Final answer
    x = 155,458.12

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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.