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Finding the Fourth Proportional to 203,314.61, 280,574.89 and 112,672.11

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Solution

The fourth proportional to 203,314.61, 280,574.89 and 112,672.11 is: 155,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,314.61 : 280,574.89 = 112,672.11 : x
  2. Step 2: Convert to fraction form
    203,314.61/280,574.89 = 112,672.11/x
  3. Step 3: Cross multiply
    203,314.61x = 280,574.89 × 112,672.11
  4. Step 4: Simplify right side
    203,314.61x = 31,612,965,639.79
  5. Step 5: Solve for x
    x = 31,612,965,639.79/203,314.61
  6. Step 6: Final answer
    x = 155,487.92

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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.