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Finding the Fourth Proportional to 64,471.68, 96,708.16 and 19,493.40

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Solution

The fourth proportional to 64,471.68, 96,708.16 and 19,493.40 is: 29,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,471.68 : 96,708.16 = 19,493.40 : x
  2. Step 2: Convert to fraction form
    64,471.68/96,708.16 = 19,493.40/x
  3. Step 3: Cross multiply
    64,471.68x = 96,708.16 × 19,493.40
  4. Step 4: Simplify right side
    64,471.68x = 1,885,170,846.14
  5. Step 5: Solve for x
    x = 1,885,170,846.14/64,471.68
  6. Step 6: Final answer
    x = 29,240.29

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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.