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Finding the Fourth Proportional to 101,872, 140,587.68 and 57,160

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Solution

The fourth proportional to 101,872, 140,587.68 and 57,160 is: 78,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872 : 140,587.68 = 57,160 : x
  2. Step 2: Convert to fraction form
    101,872/140,587.68 = 57,160/x
  3. Step 3: Cross multiply
    101,872x = 140,587.68 × 57,160
  4. Step 4: Simplify right side
    101,872x = 8,035,991,788.80
  5. Step 5: Solve for x
    x = 8,035,991,788.80/101,872
  6. Step 6: Final answer
    x = 78,883.22

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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.