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Finding the Fourth Proportional to 101,680.65, 140,298.75 and 61,396.11

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Solution

The fourth proportional to 101,680.65, 140,298.75 and 61,396.11 is: 84,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,680.65 : 140,298.75 = 61,396.11 : x
  2. Step 2: Convert to fraction form
    101,680.65/140,298.75 = 61,396.11/x
  3. Step 3: Cross multiply
    101,680.65x = 140,298.75 × 61,396.11
  4. Step 4: Simplify right side
    101,680.65x = 8,613,797,487.86
  5. Step 5: Solve for x
    x = 8,613,797,487.86/101,680.65
  6. Step 6: Final answer
    x = 84,714.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.