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Finding the Fourth Proportional to 203,617.18, 280,984.80 and 123,030.46

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Solution

The fourth proportional to 203,617.18, 280,984.80 and 123,030.46 is: 169,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,617.18 : 280,984.80 = 123,030.46 : x
  2. Step 2: Convert to fraction form
    203,617.18/280,984.80 = 123,030.46/x
  3. Step 3: Cross multiply
    203,617.18x = 280,984.80 × 123,030.46
  4. Step 4: Simplify right side
    203,617.18x = 34,569,689,197.01
  5. Step 5: Solve for x
    x = 34,569,689,197.01/203,617.18
  6. Step 6: Final answer
    x = 169,777.86

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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.