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Finding the Fourth Proportional to 101,722.64, 140,391.77 and 56,410.70

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Solution

The fourth proportional to 101,722.64, 140,391.77 and 56,410.70 is: 77,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,722.64 : 140,391.77 = 56,410.70 : x
  2. Step 2: Convert to fraction form
    101,722.64/140,391.77 = 56,410.70/x
  3. Step 3: Cross multiply
    101,722.64x = 140,391.77 × 56,410.70
  4. Step 4: Simplify right side
    101,722.64x = 7,919,597,035.93
  5. Step 5: Solve for x
    x = 7,919,597,035.93/101,722.64
  6. Step 6: Final answer
    x = 77,854.82

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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.