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Finding the Fourth Proportional to 82,492.12, 123,578.74 and 49,238.68

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Solution

The fourth proportional to 82,492.12, 123,578.74 and 49,238.68 is: 73,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,492.12 : 123,578.74 = 49,238.68 : x
  2. Step 2: Convert to fraction form
    82,492.12/123,578.74 = 49,238.68/x
  3. Step 3: Cross multiply
    82,492.12x = 123,578.74 × 49,238.68
  4. Step 4: Simplify right side
    82,492.12x = 6,084,854,033.66
  5. Step 5: Solve for x
    x = 6,084,854,033.66/82,492.12
  6. Step 6: Final answer
    x = 73,762.85

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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.