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Finding the Fourth Proportional to 102,749.50, 154,170.42 and 65,299.86

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Solution

The fourth proportional to 102,749.50, 154,170.42 and 65,299.86 is: 97,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,749.50 : 154,170.42 = 65,299.86 : x
  2. Step 2: Convert to fraction form
    102,749.50/154,170.42 = 65,299.86/x
  3. Step 3: Cross multiply
    102,749.50x = 154,170.42 × 65,299.86
  4. Step 4: Simplify right side
    102,749.50x = 10,067,306,842.14
  5. Step 5: Solve for x
    x = 10,067,306,842.14/102,749.50
  6. Step 6: Final answer
    x = 97,979.13

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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.