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Finding the Fourth Proportional to 102,596.10, 153,544.05 and 85,974.90

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Solution

The fourth proportional to 102,596.10, 153,544.05 and 85,974.90 is: 128,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596.10 : 153,544.05 = 85,974.90 : x
  2. Step 2: Convert to fraction form
    102,596.10/153,544.05 = 85,974.90/x
  3. Step 3: Cross multiply
    102,596.10x = 153,544.05 × 85,974.90
  4. Step 4: Simplify right side
    102,596.10x = 13,200,934,344.35
  5. Step 5: Solve for x
    x = 13,200,934,344.35/102,596.10
  6. Step 6: Final answer
    x = 128,668.97

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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.