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Finding the Fourth Proportional to 102,214.30, 153,310.66 and 27,342

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Solution

The fourth proportional to 102,214.30, 153,310.66 and 27,342 is: 41,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214.30 : 153,310.66 = 27,342 : x
  2. Step 2: Convert to fraction form
    102,214.30/153,310.66 = 27,342/x
  3. Step 3: Cross multiply
    102,214.30x = 153,310.66 × 27,342
  4. Step 4: Simplify right side
    102,214.30x = 4,191,820,099.90
  5. Step 5: Solve for x
    x = 4,191,820,099.90/102,214.30
  6. Step 6: Final answer
    x = 41,010.12

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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.