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Finding the Fourth Proportional to 65,741.46, 90,710.46 and 40,253.64

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Solution

The fourth proportional to 65,741.46, 90,710.46 and 40,253.64 is: 55,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,741.46 : 90,710.46 = 40,253.64 : x
  2. Step 2: Convert to fraction form
    65,741.46/90,710.46 = 40,253.64/x
  3. Step 3: Cross multiply
    65,741.46x = 90,710.46 × 40,253.64
  4. Step 4: Simplify right side
    65,741.46x = 3,651,426,201.07
  5. Step 5: Solve for x
    x = 3,651,426,201.07/65,741.46
  6. Step 6: Final answer
    x = 55,542.21

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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.