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Finding the Fourth Proportional to 203,488.74, 280,828.86 and 112,853.40

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Solution

The fourth proportional to 203,488.74, 280,828.86 and 112,853.40 is: 155,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.74 : 280,828.86 = 112,853.40 : x
  2. Step 2: Convert to fraction form
    203,488.74/280,828.86 = 112,853.40/x
  3. Step 3: Cross multiply
    203,488.74x = 280,828.86 × 112,853.40
  4. Step 4: Simplify right side
    203,488.74x = 31,692,491,669.12
  5. Step 5: Solve for x
    x = 31,692,491,669.12/203,488.74
  6. Step 6: Final answer
    x = 155,745.68

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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.