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Finding the Fourth Proportional to 64,548, 96,822 and 20,772

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Solution

The fourth proportional to 64,548, 96,822 and 20,772 is: 31,158

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,548 : 96,822 = 20,772 : x
  2. Step 2: Convert to fraction form
    64,548/96,822 = 20,772/x
  3. Step 3: Cross multiply
    64,548x = 96,822 × 20,772
  4. Step 4: Simplify right side
    64,548x = 2,011,186,584
  5. Step 5: Solve for x
    x = 2,011,186,584/64,548
  6. Step 6: Final answer
    x = 31,158

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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.