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Finding the Fourth Proportional to 272,045.30, 408,067.95 and 85,114.10

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Solution

The fourth proportional to 272,045.30, 408,067.95 and 85,114.10 is: 127,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,045.30 : 408,067.95 = 85,114.10 : x
  2. Step 2: Convert to fraction form
    272,045.30/408,067.95 = 85,114.10/x
  3. Step 3: Cross multiply
    272,045.30x = 408,067.95 × 85,114.10
  4. Step 4: Simplify right side
    272,045.30x = 34,732,336,303.10
  5. Step 5: Solve for x
    x = 34,732,336,303.10/272,045.30
  6. Step 6: Final answer
    x = 127,671.15

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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.