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Finding the Fourth Proportional to 120,245.40, 165,908.76 and 77,752.80

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Solution

The fourth proportional to 120,245.40, 165,908.76 and 77,752.80 is: 107,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,245.40 : 165,908.76 = 77,752.80 : x
  2. Step 2: Convert to fraction form
    120,245.40/165,908.76 = 77,752.80/x
  3. Step 3: Cross multiply
    120,245.40x = 165,908.76 × 77,752.80
  4. Step 4: Simplify right side
    120,245.40x = 12,899,870,634.53
  5. Step 5: Solve for x
    x = 12,899,870,634.53/120,245.40
  6. Step 6: Final answer
    x = 107,279.54

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1.5x scale

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.