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Finding the Fourth Proportional to 102,171.97, 140,995.96 and 57,459.97

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Solution

The fourth proportional to 102,171.97, 140,995.96 and 57,459.97 is: 79,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,171.97 : 140,995.96 = 57,459.97 : x
  2. Step 2: Convert to fraction form
    102,171.97/140,995.96 = 57,459.97/x
  3. Step 3: Cross multiply
    102,171.97x = 140,995.96 × 57,459.97
  4. Step 4: Simplify right side
    102,171.97x = 8,101,623,631.72
  5. Step 5: Solve for x
    x = 8,101,623,631.72/102,171.97
  6. Step 6: Final answer
    x = 79,293.99

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1.5x scale

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.