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Finding the Fourth Proportional to 102,605.10, 153,892.88 and 27,729.52

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Solution

The fourth proportional to 102,605.10, 153,892.88 and 27,729.52 is: 41,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,605.10 : 153,892.88 = 27,729.52 : x
  2. Step 2: Convert to fraction form
    102,605.10/153,892.88 = 27,729.52/x
  3. Step 3: Cross multiply
    102,605.10x = 153,892.88 × 27,729.52
  4. Step 4: Simplify right side
    102,605.10x = 4,267,375,693.82
  5. Step 5: Solve for x
    x = 4,267,375,693.82/102,605.10
  6. Step 6: Final answer
    x = 41,590.29

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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.