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Finding the Fourth Proportional to 82,710.20, 124,029.30 and 38,322.20

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Solution

The fourth proportional to 82,710.20, 124,029.30 and 38,322.20 is: 57,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,710.20 : 124,029.30 = 38,322.20 : x
  2. Step 2: Convert to fraction form
    82,710.20/124,029.30 = 38,322.20/x
  3. Step 3: Cross multiply
    82,710.20x = 124,029.30 × 38,322.20
  4. Step 4: Simplify right side
    82,710.20x = 4,753,075,640.46
  5. Step 5: Solve for x
    x = 4,753,075,640.46/82,710.20
  6. Step 6: Final answer
    x = 57,466.62

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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.