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Finding the Fourth Proportional to 83,090.40, 124,621.20 and 30,472.80

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Solution

The fourth proportional to 83,090.40, 124,621.20 and 30,472.80 is: 45,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090.40 : 124,621.20 = 30,472.80 : x
  2. Step 2: Convert to fraction form
    83,090.40/124,621.20 = 30,472.80/x
  3. Step 3: Cross multiply
    83,090.40x = 124,621.20 × 30,472.80
  4. Step 4: Simplify right side
    83,090.40x = 3,797,556,903.36
  5. Step 5: Solve for x
    x = 3,797,556,903.36/83,090.40
  6. Step 6: Final answer
    x = 45,703.92

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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.