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Finding the Fourth Proportional to 65,710.67, 90,668.03 and 40,222.80

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Solution

The fourth proportional to 65,710.67, 90,668.03 and 40,222.80 is: 55,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.67 : 90,668.03 = 40,222.80 : x
  2. Step 2: Convert to fraction form
    65,710.67/90,668.03 = 40,222.80/x
  3. Step 3: Cross multiply
    65,710.67x = 90,668.03 × 40,222.80
  4. Step 4: Simplify right side
    65,710.67x = 3,646,921,835.97
  5. Step 5: Solve for x
    x = 3,646,921,835.97/65,710.67
  6. Step 6: Final answer
    x = 55,499.69

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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.