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Finding the Fourth Proportional to 101,971.88, 140,716.44 and 56,652.80

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Solution

The fourth proportional to 101,971.88, 140,716.44 and 56,652.80 is: 78,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,971.88 : 140,716.44 = 56,652.80 : x
  2. Step 2: Convert to fraction form
    101,971.88/140,716.44 = 56,652.80/x
  3. Step 3: Cross multiply
    101,971.88x = 140,716.44 × 56,652.80
  4. Step 4: Simplify right side
    101,971.88x = 7,971,980,332.03
  5. Step 5: Solve for x
    x = 7,971,980,332.03/101,971.88
  6. Step 6: Final answer
    x = 78,178.22

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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.