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Finding the Fourth Proportional to 272,615.64, 408,939.80 and 85,627.14

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Solution

The fourth proportional to 272,615.64, 408,939.80 and 85,627.14 is: 128,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,615.64 : 408,939.80 = 85,627.14 : x
  2. Step 2: Convert to fraction form
    272,615.64/408,939.80 = 85,627.14/x
  3. Step 3: Cross multiply
    272,615.64x = 408,939.80 × 85,627.14
  4. Step 4: Simplify right side
    272,615.64x = 35,016,345,078.04
  5. Step 5: Solve for x
    x = 35,016,345,078.04/272,615.64
  6. Step 6: Final answer
    x = 128,445.84

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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.