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Finding the Fourth Proportional to 101,757.24, 140,425.78 and 56,432.68

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Solution

The fourth proportional to 101,757.24, 140,425.78 and 56,432.68 is: 77,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,757.24 : 140,425.78 = 56,432.68 : x
  2. Step 2: Convert to fraction form
    101,757.24/140,425.78 = 56,432.68/x
  3. Step 3: Cross multiply
    101,757.24x = 140,425.78 × 56,432.68
  4. Step 4: Simplify right side
    101,757.24x = 7,924,603,106.49
  5. Step 5: Solve for x
    x = 7,924,603,106.49/101,757.24
  6. Step 6: Final answer
    x = 77,877.54

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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.