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Finding the Fourth Proportional to 203,565.30, 280,921.80 and 112,927.20

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Solution

The fourth proportional to 203,565.30, 280,921.80 and 112,927.20 is: 155,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,565.30 : 280,921.80 = 112,927.20 : x
  2. Step 2: Convert to fraction form
    203,565.30/280,921.80 = 112,927.20/x
  3. Step 3: Cross multiply
    203,565.30x = 280,921.80 × 112,927.20
  4. Step 4: Simplify right side
    203,565.30x = 31,723,712,292.96
  5. Step 5: Solve for x
    x = 31,723,712,292.96/203,565.30
  6. Step 6: Final answer
    x = 155,840.47

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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.