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Finding the Fourth Proportional to 205,113.80, 307,713.90 and 86,724.20

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Solution

The fourth proportional to 205,113.80, 307,713.90 and 86,724.20 is: 130,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,113.80 : 307,713.90 = 86,724.20 : x
  2. Step 2: Convert to fraction form
    205,113.80/307,713.90 = 86,724.20/x
  3. Step 3: Cross multiply
    205,113.80x = 307,713.90 × 86,724.20
  4. Step 4: Simplify right side
    205,113.80x = 26,686,241,806.38
  5. Step 5: Solve for x
    x = 26,686,241,806.38/205,113.80
  6. Step 6: Final answer
    x = 130,104.57

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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.