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Finding the Fourth Proportional to 203,521.42, 280,825.90 and 112,862.98

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Solution

The fourth proportional to 203,521.42, 280,825.90 and 112,862.98 is: 155,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,521.42 : 280,825.90 = 112,862.98 : x
  2. Step 2: Convert to fraction form
    203,521.42/280,825.90 = 112,862.98/x
  3. Step 3: Cross multiply
    203,521.42x = 280,825.90 × 112,862.98
  4. Step 4: Simplify right side
    203,521.42x = 31,694,847,935.18
  5. Step 5: Solve for x
    x = 31,694,847,935.18/203,521.42
  6. Step 6: Final answer
    x = 155,732.25

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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.