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Finding the Fourth Proportional to 83,294.64, 124,990.83 and 30,740.76

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Solution

The fourth proportional to 83,294.64, 124,990.83 and 30,740.76 is: 46,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,294.64 : 124,990.83 = 30,740.76 : x
  2. Step 2: Convert to fraction form
    83,294.64/124,990.83 = 30,740.76/x
  3. Step 3: Cross multiply
    83,294.64x = 124,990.83 × 30,740.76
  4. Step 4: Simplify right side
    83,294.64x = 3,842,313,107.23
  5. Step 5: Solve for x
    x = 3,842,313,107.23/83,294.64
  6. Step 6: Final answer
    x = 46,129.18

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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.