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Finding the Fourth Proportional to 51,356.60, 77,042.10 and 20,184.60

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Solution

The fourth proportional to 51,356.60, 77,042.10 and 20,184.60 is: 30,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,356.60 : 77,042.10 = 20,184.60 : x
  2. Step 2: Convert to fraction form
    51,356.60/77,042.10 = 20,184.60/x
  3. Step 3: Cross multiply
    51,356.60x = 77,042.10 × 20,184.60
  4. Step 4: Simplify right side
    51,356.60x = 1,555,063,971.66
  5. Step 5: Solve for x
    x = 1,555,063,971.66/51,356.60
  6. Step 6: Final answer
    x = 30,279.73

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1.5x scale

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.