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Finding the Fourth Proportional to 101,982, 140,735.16 and 57,270

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Solution

The fourth proportional to 101,982, 140,735.16 and 57,270 is: 79,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,982 : 140,735.16 = 57,270 : x
  2. Step 2: Convert to fraction form
    101,982/140,735.16 = 57,270/x
  3. Step 3: Cross multiply
    101,982x = 140,735.16 × 57,270
  4. Step 4: Simplify right side
    101,982x = 8,059,902,613.20
  5. Step 5: Solve for x
    x = 8,059,902,613.20/101,982
  6. Step 6: Final answer
    x = 79,032.60

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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.