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Finding the Fourth Proportional to 101,976.89, 140,712.48 and 56,650.70

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Solution

The fourth proportional to 101,976.89, 140,712.48 and 56,650.70 is: 78,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,976.89 : 140,712.48 = 56,650.70 : x
  2. Step 2: Convert to fraction form
    101,976.89/140,712.48 = 56,650.70/x
  3. Step 3: Cross multiply
    101,976.89x = 140,712.48 × 56,650.70
  4. Step 4: Simplify right side
    101,976.89x = 7,971,460,842.52
  5. Step 5: Solve for x
    x = 7,971,460,842.52/101,976.89
  6. Step 6: Final answer
    x = 78,169.29

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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.