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Finding the Fourth Proportional to 203,254.53, 280,501.70 and 122,680.95

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Solution

The fourth proportional to 203,254.53, 280,501.70 and 122,680.95 is: 169,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,254.53 : 280,501.70 = 122,680.95 : x
  2. Step 2: Convert to fraction form
    203,254.53/280,501.70 = 122,680.95/x
  3. Step 3: Cross multiply
    203,254.53x = 280,501.70 × 122,680.95
  4. Step 4: Simplify right side
    203,254.53x = 34,412,214,419.21
  5. Step 5: Solve for x
    x = 34,412,214,419.21/203,254.53
  6. Step 6: Final answer
    x = 169,306.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.