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Finding the Fourth Proportional to 39,842, 54,981.96 and 22,178

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Solution

The fourth proportional to 39,842, 54,981.96 and 22,178 is: 30,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842 : 54,981.96 = 22,178 : x
  2. Step 2: Convert to fraction form
    39,842/54,981.96 = 22,178/x
  3. Step 3: Cross multiply
    39,842x = 54,981.96 × 22,178
  4. Step 4: Simplify right side
    39,842x = 1,219,389,908.88
  5. Step 5: Solve for x
    x = 1,219,389,908.88/39,842
  6. Step 6: Final answer
    x = 30,605.64

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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.