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Finding the Fourth Proportional to 189,138.80, 283,319.40 and 130,041.20

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Solution

The fourth proportional to 189,138.80, 283,319.40 and 130,041.20 is: 194,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,138.80 : 283,319.40 = 130,041.20 : x
  2. Step 2: Convert to fraction form
    189,138.80/283,319.40 = 130,041.20/x
  3. Step 3: Cross multiply
    189,138.80x = 283,319.40 × 130,041.20
  4. Step 4: Simplify right side
    189,138.80x = 36,843,194,759.28
  5. Step 5: Solve for x
    x = 36,843,194,759.28/189,138.80
  6. Step 6: Final answer
    x = 194,794.48

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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.