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Finding the Fourth Proportional to 36,978.73, 51,030.63 and 20,211.73

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Solution

The fourth proportional to 36,978.73, 51,030.63 and 20,211.73 is: 27,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.73 : 51,030.63 = 20,211.73 : x
  2. Step 2: Convert to fraction form
    36,978.73/51,030.63 = 20,211.73/x
  3. Step 3: Cross multiply
    36,978.73x = 51,030.63 × 20,211.73
  4. Step 4: Simplify right side
    36,978.73x = 1,031,417,315.29
  5. Step 5: Solve for x
    x = 1,031,417,315.29/36,978.73
  6. Step 6: Final answer
    x = 27,892.18

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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.