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Finding the Fourth Proportional to 82,225.32, 123,264.16 and 68,275

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Solution

The fourth proportional to 82,225.32, 123,264.16 and 68,275 is: 102,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225.32 : 123,264.16 = 68,275 : x
  2. Step 2: Convert to fraction form
    82,225.32/123,264.16 = 68,275/x
  3. Step 3: Cross multiply
    82,225.32x = 123,264.16 × 68,275
  4. Step 4: Simplify right side
    82,225.32x = 8,415,860,524
  5. Step 5: Solve for x
    x = 8,415,860,524/82,225.32
  6. Step 6: Final answer
    x = 102,351.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.