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Finding the Fourth Proportional to 101,755, 140,421.90 and 57,043

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Solution

The fourth proportional to 101,755, 140,421.90 and 57,043 is: 78,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755 : 140,421.90 = 57,043 : x
  2. Step 2: Convert to fraction form
    101,755/140,421.90 = 57,043/x
  3. Step 3: Cross multiply
    101,755x = 140,421.90 × 57,043
  4. Step 4: Simplify right side
    101,755x = 8,010,086,441.70
  5. Step 5: Solve for x
    x = 8,010,086,441.70/101,755
  6. Step 6: Final answer
    x = 78,719.34

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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.