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Finding the Fourth Proportional to 140,777.20, 210,871.40 and 65,961.20

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Solution

The fourth proportional to 140,777.20, 210,871.40 and 65,961.20 is: 98,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,777.20 : 210,871.40 = 65,961.20 : x
  2. Step 2: Convert to fraction form
    140,777.20/210,871.40 = 65,961.20/x
  3. Step 3: Cross multiply
    140,777.20x = 210,871.40 × 65,961.20
  4. Step 4: Simplify right side
    140,777.20x = 13,909,330,589.68
  5. Step 5: Solve for x
    x = 13,909,330,589.68/140,777.20
  6. Step 6: Final answer
    x = 98,803.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.