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Finding the Fourth Proportional to 65,246.64, 97,876.96 and 20,857.56

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Solution

The fourth proportional to 65,246.64, 97,876.96 and 20,857.56 is: 31,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,246.64 : 97,876.96 = 20,857.56 : x
  2. Step 2: Convert to fraction form
    65,246.64/97,876.96 = 20,857.56/x
  3. Step 3: Cross multiply
    65,246.64x = 97,876.96 × 20,857.56
  4. Step 4: Simplify right side
    65,246.64x = 2,041,474,565.82
  5. Step 5: Solve for x
    x = 2,041,474,565.82/65,246.64
  6. Step 6: Final answer
    x = 31,288.58

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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.