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Finding the Fourth Proportional to 101,659.75, 140,290.81 and 56,338.50

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Solution

The fourth proportional to 101,659.75, 140,290.81 and 56,338.50 is: 77,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,659.75 : 140,290.81 = 56,338.50 : x
  2. Step 2: Convert to fraction form
    101,659.75/140,290.81 = 56,338.50/x
  3. Step 3: Cross multiply
    101,659.75x = 140,290.81 × 56,338.50
  4. Step 4: Simplify right side
    101,659.75x = 7,903,773,799.19
  5. Step 5: Solve for x
    x = 7,903,773,799.19/101,659.75
  6. Step 6: Final answer
    x = 77,747.33

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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.