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Finding the Fourth Proportional to 43,889.64, 65,681.34 and 35,899.80

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Solution

The fourth proportional to 43,889.64, 65,681.34 and 35,899.80 is: 53,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,889.64 : 65,681.34 = 35,899.80 : x
  2. Step 2: Convert to fraction form
    43,889.64/65,681.34 = 35,899.80/x
  3. Step 3: Cross multiply
    43,889.64x = 65,681.34 × 35,899.80
  4. Step 4: Simplify right side
    43,889.64x = 2,357,946,969.73
  5. Step 5: Solve for x
    x = 2,357,946,969.73/43,889.64
  6. Step 6: Final answer
    x = 53,724.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.