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Finding the Fourth Proportional to 65,764.65, 90,760.77 and 40,270.89

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Solution

The fourth proportional to 65,764.65, 90,760.77 and 40,270.89 is: 55,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,764.65 : 90,760.77 = 40,270.89 : x
  2. Step 2: Convert to fraction form
    65,764.65/90,760.77 = 40,270.89/x
  3. Step 3: Cross multiply
    65,764.65x = 90,760.77 × 40,270.89
  4. Step 4: Simplify right side
    65,764.65x = 3,655,016,329.83
  5. Step 5: Solve for x
    x = 3,655,016,329.83/65,764.65
  6. Step 6: Final answer
    x = 55,577.22

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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.