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Finding the Fourth Proportional to 185,489.16, 255,951.72 and 103,815.24

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Solution

The fourth proportional to 185,489.16, 255,951.72 and 103,815.24 is: 143,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,489.16 : 255,951.72 = 103,815.24 : x
  2. Step 2: Convert to fraction form
    185,489.16/255,951.72 = 103,815.24/x
  3. Step 3: Cross multiply
    185,489.16x = 255,951.72 × 103,815.24
  4. Step 4: Simplify right side
    185,489.16x = 26,571,689,240.21
  5. Step 5: Solve for x
    x = 26,571,689,240.21/185,489.16
  6. Step 6: Final answer
    x = 143,251.98

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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.