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Finding the Fourth Proportional to 272,012.56, 408,076.44 and 85,038.16

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Solution

The fourth proportional to 272,012.56, 408,076.44 and 85,038.16 is: 127,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,012.56 : 408,076.44 = 85,038.16 : x
  2. Step 2: Convert to fraction form
    272,012.56/408,076.44 = 85,038.16/x
  3. Step 3: Cross multiply
    272,012.56x = 408,076.44 × 85,038.16
  4. Step 4: Simplify right side
    272,012.56x = 34,702,069,596.95
  5. Step 5: Solve for x
    x = 34,702,069,596.95/272,012.56
  6. Step 6: Final answer
    x = 127,575.25

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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.