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Finding the Fourth Proportional to 142,205.80, 196,227.22 and 78,539.80

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Solution

The fourth proportional to 142,205.80, 196,227.22 and 78,539.80 is: 108,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,205.80 : 196,227.22 = 78,539.80 : x
  2. Step 2: Convert to fraction form
    142,205.80/196,227.22 = 78,539.80/x
  3. Step 3: Cross multiply
    142,205.80x = 196,227.22 × 78,539.80
  4. Step 4: Simplify right side
    142,205.80x = 15,411,646,613.36
  5. Step 5: Solve for x
    x = 15,411,646,613.36/142,205.80
  6. Step 6: Final answer
    x = 108,375.65

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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.