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Finding the Fourth Proportional to 82,211.84, 123,328 and 29,607.68

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Solution

The fourth proportional to 82,211.84, 123,328 and 29,607.68 is: 44,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,211.84 : 123,328 = 29,607.68 : x
  2. Step 2: Convert to fraction form
    82,211.84/123,328 = 29,607.68/x
  3. Step 3: Cross multiply
    82,211.84x = 123,328 × 29,607.68
  4. Step 4: Simplify right side
    82,211.84x = 3,651,455,959.04
  5. Step 5: Solve for x
    x = 3,651,455,959.04/82,211.84
  6. Step 6: Final answer
    x = 44,415.21

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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.