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Finding the Fourth Proportional to 142,396.80, 213,530.40 and 75,819.84

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Solution

The fourth proportional to 142,396.80, 213,530.40 and 75,819.84 is: 113,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,396.80 : 213,530.40 = 75,819.84 : x
  2. Step 2: Convert to fraction form
    142,396.80/213,530.40 = 75,819.84/x
  3. Step 3: Cross multiply
    142,396.80x = 213,530.40 × 75,819.84
  4. Step 4: Simplify right side
    142,396.80x = 16,189,840,763.14
  5. Step 5: Solve for x
    x = 16,189,840,763.14/142,396.80
  6. Step 6: Final answer
    x = 113,695.26

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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.