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Finding the Fourth Proportional to 101,966.47, 140,751.62 and 87,568.48

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Solution

The fourth proportional to 101,966.47, 140,751.62 and 87,568.48 is: 120,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,966.47 : 140,751.62 = 87,568.48 : x
  2. Step 2: Convert to fraction form
    101,966.47/140,751.62 = 87,568.48/x
  3. Step 3: Cross multiply
    101,966.47x = 140,751.62 × 87,568.48
  4. Step 4: Simplify right side
    101,966.47x = 12,325,404,983.10
  5. Step 5: Solve for x
    x = 12,325,404,983.10/101,966.47
  6. Step 6: Final answer
    x = 120,877.05

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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.