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Finding the Fourth Proportional to 101,967.66, 140,719.35 and 69,769.80

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Solution

The fourth proportional to 101,967.66, 140,719.35 and 69,769.80 is: 96,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.66 : 140,719.35 = 69,769.80 : x
  2. Step 2: Convert to fraction form
    101,967.66/140,719.35 = 69,769.80/x
  3. Step 3: Cross multiply
    101,967.66x = 140,719.35 × 69,769.80
  4. Step 4: Simplify right side
    101,967.66x = 9,817,959,853.18
  5. Step 5: Solve for x
    x = 9,817,959,853.18/101,967.66
  6. Step 6: Final answer
    x = 96,285.04

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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.