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Finding the Fourth Proportional to 101,761.64, 140,423.46 and 57,041

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Solution

The fourth proportional to 101,761.64, 140,423.46 and 57,041 is: 78,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,761.64 : 140,423.46 = 57,041 : x
  2. Step 2: Convert to fraction form
    101,761.64/140,423.46 = 57,041/x
  3. Step 3: Cross multiply
    101,761.64x = 140,423.46 × 57,041
  4. Step 4: Simplify right side
    101,761.64x = 8,009,894,581.86
  5. Step 5: Solve for x
    x = 8,009,894,581.86/101,761.64
  6. Step 6: Final answer
    x = 78,712.32

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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.