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Finding the Fourth Proportional to 64,896.86, 97,308.84 and 20,534.78

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Solution

The fourth proportional to 64,896.86, 97,308.84 and 20,534.78 is: 30,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,896.86 : 97,308.84 = 20,534.78 : x
  2. Step 2: Convert to fraction form
    64,896.86/97,308.84 = 20,534.78/x
  3. Step 3: Cross multiply
    64,896.86x = 97,308.84 × 20,534.78
  4. Step 4: Simplify right side
    64,896.86x = 1,998,215,621.46
  5. Step 5: Solve for x
    x = 1,998,215,621.46/64,896.86
  6. Step 6: Final answer
    x = 30,790.64

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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.