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Finding the Fourth Proportional to 203,425.72, 280,744.12 and 112,810.10

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Solution

The fourth proportional to 203,425.72, 280,744.12 and 112,810.10 is: 155,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,425.72 : 280,744.12 = 112,810.10 : x
  2. Step 2: Convert to fraction form
    203,425.72/280,744.12 = 112,810.10/x
  3. Step 3: Cross multiply
    203,425.72x = 280,744.12 × 112,810.10
  4. Step 4: Simplify right side
    203,425.72x = 31,670,772,251.61
  5. Step 5: Solve for x
    x = 31,670,772,251.61/203,425.72
  6. Step 6: Final answer
    x = 155,687.16

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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.