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Finding the Fourth Proportional to 70,282.80, 96,990.98 and 38,451

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Solution

The fourth proportional to 70,282.80, 96,990.98 and 38,451 is: 53,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.80 : 96,990.98 = 38,451 : x
  2. Step 2: Convert to fraction form
    70,282.80/96,990.98 = 38,451/x
  3. Step 3: Cross multiply
    70,282.80x = 96,990.98 × 38,451
  4. Step 4: Simplify right side
    70,282.80x = 3,729,400,171.98
  5. Step 5: Solve for x
    x = 3,729,400,171.98/70,282.80
  6. Step 6: Final answer
    x = 53,062.77

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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.