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Finding the Fourth Proportional to 129,637.80, 194,067.90 and 77,020.20

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Solution

The fourth proportional to 129,637.80, 194,067.90 and 77,020.20 is: 115,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,637.80 : 194,067.90 = 77,020.20 : x
  2. Step 2: Convert to fraction form
    129,637.80/194,067.90 = 77,020.20/x
  3. Step 3: Cross multiply
    129,637.80x = 194,067.90 × 77,020.20
  4. Step 4: Simplify right side
    129,637.80x = 14,947,148,471.58
  5. Step 5: Solve for x
    x = 14,947,148,471.58/129,637.80
  6. Step 6: Final answer
    x = 115,299.31

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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.