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Finding the Fourth Proportional to 101,954.88, 140,695.92 and 56,631.06

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Solution

The fourth proportional to 101,954.88, 140,695.92 and 56,631.06 is: 78,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954.88 : 140,695.92 = 56,631.06 : x
  2. Step 2: Convert to fraction form
    101,954.88/140,695.92 = 56,631.06/x
  3. Step 3: Cross multiply
    101,954.88x = 140,695.92 × 56,631.06
  4. Step 4: Simplify right side
    101,954.88x = 7,967,759,087.28
  5. Step 5: Solve for x
    x = 7,967,759,087.28/101,954.88
  6. Step 6: Final answer
    x = 78,149.85

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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.