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Finding the Fourth Proportional to 65,843.64, 90,905.76 and 45,694.08

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Solution

The fourth proportional to 65,843.64, 90,905.76 and 45,694.08 is: 63,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,843.64 : 90,905.76 = 45,694.08 : x
  2. Step 2: Convert to fraction form
    65,843.64/90,905.76 = 45,694.08/x
  3. Step 3: Cross multiply
    65,843.64x = 90,905.76 × 45,694.08
  4. Step 4: Simplify right side
    65,843.64x = 4,153,855,069.90
  5. Step 5: Solve for x
    x = 4,153,855,069.90/65,843.64
  6. Step 6: Final answer
    x = 63,086.66

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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.