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Finding the Fourth Proportional to 185,488.63, 278,200.65 and 85,640.31

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Solution

The fourth proportional to 185,488.63, 278,200.65 and 85,640.31 is: 128,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,488.63 : 278,200.65 = 85,640.31 : x
  2. Step 2: Convert to fraction form
    185,488.63/278,200.65 = 85,640.31/x
  3. Step 3: Cross multiply
    185,488.63x = 278,200.65 × 85,640.31
  4. Step 4: Simplify right side
    185,488.63x = 23,825,189,480.00
  5. Step 5: Solve for x
    x = 23,825,189,480.00/185,488.63
  6. Step 6: Final answer
    x = 128,445.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.