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Finding the Fourth Proportional to 65,188.41, 97,799.76 and 20,816.07

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Solution

The fourth proportional to 65,188.41, 97,799.76 and 20,816.07 is: 31,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.41 : 97,799.76 = 20,816.07 : x
  2. Step 2: Convert to fraction form
    65,188.41/97,799.76 = 20,816.07/x
  3. Step 3: Cross multiply
    65,188.41x = 97,799.76 × 20,816.07
  4. Step 4: Simplify right side
    65,188.41x = 2,035,806,650.14
  5. Step 5: Solve for x
    x = 2,035,806,650.14/65,188.41
  6. Step 6: Final answer
    x = 31,229.58

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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.