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Finding the Fourth Proportional to 65,902.04, 90,941.21 and 39,047.02

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Solution

The fourth proportional to 65,902.04, 90,941.21 and 39,047.02 is: 53,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.04 : 90,941.21 = 39,047.02 : x
  2. Step 2: Convert to fraction form
    65,902.04/90,941.21 = 39,047.02/x
  3. Step 3: Cross multiply
    65,902.04x = 90,941.21 × 39,047.02
  4. Step 4: Simplify right side
    65,902.04x = 3,550,983,245.69
  5. Step 5: Solve for x
    x = 3,550,983,245.69/65,902.04
  6. Step 6: Final answer
    x = 53,882.75

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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.