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Finding the Fourth Proportional to 136,879.90, 205,319.84 and 51,506.80

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Solution

The fourth proportional to 136,879.90, 205,319.84 and 51,506.80 is: 77,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,879.90 : 205,319.84 = 51,506.80 : x
  2. Step 2: Convert to fraction form
    136,879.90/205,319.84 = 51,506.80/x
  3. Step 3: Cross multiply
    136,879.90x = 205,319.84 × 51,506.80
  4. Step 4: Simplify right side
    136,879.90x = 10,575,367,934.91
  5. Step 5: Solve for x
    x = 10,575,367,934.91/136,879.90
  6. Step 6: Final answer
    x = 77,260.20

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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.