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Finding the Fourth Proportional to 55,966.72, 77,234 and 30,816

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Solution

The fourth proportional to 55,966.72, 77,234 and 30,816 is: 42,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966.72 : 77,234 = 30,816 : x
  2. Step 2: Convert to fraction form
    55,966.72/77,234 = 30,816/x
  3. Step 3: Cross multiply
    55,966.72x = 77,234 × 30,816
  4. Step 4: Simplify right side
    55,966.72x = 2,380,042,944
  5. Step 5: Solve for x
    x = 2,380,042,944/55,966.72
  6. Step 6: Final answer
    x = 42,526.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.