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Finding the Fourth Proportional to 101,969.70, 140,723.04 and 56,647.80

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Solution

The fourth proportional to 101,969.70, 140,723.04 and 56,647.80 is: 78,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.70 : 140,723.04 = 56,647.80 : x
  2. Step 2: Convert to fraction form
    101,969.70/140,723.04 = 56,647.80/x
  3. Step 3: Cross multiply
    101,969.70x = 140,723.04 × 56,647.80
  4. Step 4: Simplify right side
    101,969.70x = 7,971,650,625.31
  5. Step 5: Solve for x
    x = 7,971,650,625.31/101,969.70
  6. Step 6: Final answer
    x = 78,176.66

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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.