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Finding the Fourth Proportional to 65,308.52, 97,964.40 and 18,561.80

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Solution

The fourth proportional to 65,308.52, 97,964.40 and 18,561.80 is: 27,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,308.52 : 97,964.40 = 18,561.80 : x
  2. Step 2: Convert to fraction form
    65,308.52/97,964.40 = 18,561.80/x
  3. Step 3: Cross multiply
    65,308.52x = 97,964.40 × 18,561.80
  4. Step 4: Simplify right side
    65,308.52x = 1,818,395,599.92
  5. Step 5: Solve for x
    x = 1,818,395,599.92/65,308.52
  6. Step 6: Final answer
    x = 27,843.16

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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.