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Finding the Fourth Proportional to 65,218.70, 97,815.22 and 20,833.49

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Solution

The fourth proportional to 65,218.70, 97,815.22 and 20,833.49 is: 31,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.70 : 97,815.22 = 20,833.49 : x
  2. Step 2: Convert to fraction form
    65,218.70/97,815.22 = 20,833.49/x
  3. Step 3: Cross multiply
    65,218.70x = 97,815.22 × 20,833.49
  4. Step 4: Simplify right side
    65,218.70x = 2,037,832,407.72
  5. Step 5: Solve for x
    x = 2,037,832,407.72/65,218.70
  6. Step 6: Final answer
    x = 31,246.14

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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.