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Finding the Fourth Proportional to 123,712.83, 170,713.31 and 72,727.20

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Solution

The fourth proportional to 123,712.83, 170,713.31 and 72,727.20 is: 100,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,712.83 : 170,713.31 = 72,727.20 : x
  2. Step 2: Convert to fraction form
    123,712.83/170,713.31 = 72,727.20/x
  3. Step 3: Cross multiply
    123,712.83x = 170,713.31 × 72,727.20
  4. Step 4: Simplify right side
    123,712.83x = 12,415,500,675.40
  5. Step 5: Solve for x
    x = 12,415,500,675.40/123,712.83
  6. Step 6: Final answer
    x = 100,357.42

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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.