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Finding the Fourth Proportional to 101,522.78, 140,165.18 and 65,240.46

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Solution

The fourth proportional to 101,522.78, 140,165.18 and 65,240.46 is: 90,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,522.78 : 140,165.18 = 65,240.46 : x
  2. Step 2: Convert to fraction form
    101,522.78/140,165.18 = 65,240.46/x
  3. Step 3: Cross multiply
    101,522.78x = 140,165.18 × 65,240.46
  4. Step 4: Simplify right side
    101,522.78x = 9,144,440,819.18
  5. Step 5: Solve for x
    x = 9,144,440,819.18/101,522.78
  6. Step 6: Final answer
    x = 90,072.80

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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.