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Finding the Fourth Proportional to 101,713.62, 140,373.06 and 56,405.79

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Solution

The fourth proportional to 101,713.62, 140,373.06 and 56,405.79 is: 77,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,713.62 : 140,373.06 = 56,405.79 : x
  2. Step 2: Convert to fraction form
    101,713.62/140,373.06 = 56,405.79/x
  3. Step 3: Cross multiply
    101,713.62x = 140,373.06 × 56,405.79
  4. Step 4: Simplify right side
    101,713.62x = 7,917,853,344.02
  5. Step 5: Solve for x
    x = 7,917,853,344.02/101,713.62
  6. Step 6: Final answer
    x = 77,844.57

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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.