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Finding the Fourth Proportional to 53,981.66, 80,973 and 20,693.78

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Solution

The fourth proportional to 53,981.66, 80,973 and 20,693.78 is: 31,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,981.66 : 80,973 = 20,693.78 : x
  2. Step 2: Convert to fraction form
    53,981.66/80,973 = 20,693.78/x
  3. Step 3: Cross multiply
    53,981.66x = 80,973 × 20,693.78
  4. Step 4: Simplify right side
    53,981.66x = 1,675,637,447.94
  5. Step 5: Solve for x
    x = 1,675,637,447.94/53,981.66
  6. Step 6: Final answer
    x = 31,040.87

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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.