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Finding the Fourth Proportional to 82,806.90, 124,246.80 and 38,410.80

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Solution

The fourth proportional to 82,806.90, 124,246.80 and 38,410.80 is: 57,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,806.90 : 124,246.80 = 38,410.80 : x
  2. Step 2: Convert to fraction form
    82,806.90/124,246.80 = 38,410.80/x
  3. Step 3: Cross multiply
    82,806.90x = 124,246.80 × 38,410.80
  4. Step 4: Simplify right side
    82,806.90x = 4,772,418,985.44
  5. Step 5: Solve for x
    x = 4,772,418,985.44/82,806.90
  6. Step 6: Final answer
    x = 57,633.11

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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.