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Finding the Fourth Proportional to 82,811.80, 124,233.90 and 35,426.80

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Solution

The fourth proportional to 82,811.80, 124,233.90 and 35,426.80 is: 53,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.80 : 124,233.90 = 35,426.80 : x
  2. Step 2: Convert to fraction form
    82,811.80/124,233.90 = 35,426.80/x
  3. Step 3: Cross multiply
    82,811.80x = 124,233.90 × 35,426.80
  4. Step 4: Simplify right side
    82,811.80x = 4,401,209,528.52
  5. Step 5: Solve for x
    x = 4,401,209,528.52/82,811.80
  6. Step 6: Final answer
    x = 53,147.13

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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.