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Finding the Fourth Proportional to 65,771.53, 90,743.19 and 40,251.28

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Solution

The fourth proportional to 65,771.53, 90,743.19 and 40,251.28 is: 55,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,771.53 : 90,743.19 = 40,251.28 : x
  2. Step 2: Convert to fraction form
    65,771.53/90,743.19 = 40,251.28/x
  3. Step 3: Cross multiply
    65,771.53x = 90,743.19 × 40,251.28
  4. Step 4: Simplify right side
    65,771.53x = 3,652,529,341.13
  5. Step 5: Solve for x
    x = 3,652,529,341.13/65,771.53
  6. Step 6: Final answer
    x = 55,533.59

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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.