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Finding the Fourth Proportional to 101,978.68, 140,729.65 and 56,656.75

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Solution

The fourth proportional to 101,978.68, 140,729.65 and 56,656.75 is: 78,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,978.68 : 140,729.65 = 56,656.75 : x
  2. Step 2: Convert to fraction form
    101,978.68/140,729.65 = 56,656.75/x
  3. Step 3: Cross multiply
    101,978.68x = 140,729.65 × 56,656.75
  4. Step 4: Simplify right side
    101,978.68x = 7,973,284,597.64
  5. Step 5: Solve for x
    x = 7,973,284,597.64/101,978.68
  6. Step 6: Final answer
    x = 78,185.80

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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.