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Finding the Fourth Proportional to 65,900.68, 90,942.79 and 35,686.08

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Solution

The fourth proportional to 65,900.68, 90,942.79 and 35,686.08 is: 49,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,900.68 : 90,942.79 = 35,686.08 : x
  2. Step 2: Convert to fraction form
    65,900.68/90,942.79 = 35,686.08/x
  3. Step 3: Cross multiply
    65,900.68x = 90,942.79 × 35,686.08
  4. Step 4: Simplify right side
    65,900.68x = 3,245,391,679.36
  5. Step 5: Solve for x
    x = 3,245,391,679.36/65,900.68
  6. Step 6: Final answer
    x = 49,246.71

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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.