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Finding the Fourth Proportional to 65,209.54, 97,818.15 and 18,458.50

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Solution

The fourth proportional to 65,209.54, 97,818.15 and 18,458.50 is: 27,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.54 : 97,818.15 = 18,458.50 : x
  2. Step 2: Convert to fraction form
    65,209.54/97,818.15 = 18,458.50/x
  3. Step 3: Cross multiply
    65,209.54x = 97,818.15 × 18,458.50
  4. Step 4: Simplify right side
    65,209.54x = 1,805,576,321.78
  5. Step 5: Solve for x
    x = 1,805,576,321.78/65,209.54
  6. Step 6: Final answer
    x = 27,688.84

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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.