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Finding the Fourth Proportional to 272,014.56, 408,079.44 and 85,040.16

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Solution

The fourth proportional to 272,014.56, 408,079.44 and 85,040.16 is: 127,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,014.56 : 408,079.44 = 85,040.16 : x
  2. Step 2: Convert to fraction form
    272,014.56/408,079.44 = 85,040.16/x
  3. Step 3: Cross multiply
    272,014.56x = 408,079.44 × 85,040.16
  4. Step 4: Simplify right side
    272,014.56x = 34,703,140,870.31
  5. Step 5: Solve for x
    x = 34,703,140,870.31/272,014.56
  6. Step 6: Final answer
    x = 127,578.25

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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.