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Finding the Fourth Proportional to 101,695.32, 140,332.86 and 56,974.68

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Solution

The fourth proportional to 101,695.32, 140,332.86 and 56,974.68 is: 78,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,695.32 : 140,332.86 = 56,974.68 : x
  2. Step 2: Convert to fraction form
    101,695.32/140,332.86 = 56,974.68/x
  3. Step 3: Cross multiply
    101,695.32x = 140,332.86 × 56,974.68
  4. Step 4: Simplify right side
    101,695.32x = 7,995,419,791.98
  5. Step 5: Solve for x
    x = 7,995,419,791.98/101,695.32
  6. Step 6: Final answer
    x = 78,621.32

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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.