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Finding the Fourth Proportional to 53,221.89, 79,874.16 and 19,972.20

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Solution

The fourth proportional to 53,221.89, 79,874.16 and 19,972.20 is: 29,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,221.89 : 79,874.16 = 19,972.20 : x
  2. Step 2: Convert to fraction form
    53,221.89/79,874.16 = 19,972.20/x
  3. Step 3: Cross multiply
    53,221.89x = 79,874.16 × 19,972.20
  4. Step 4: Simplify right side
    53,221.89x = 1,595,262,698.35
  5. Step 5: Solve for x
    x = 1,595,262,698.35/53,221.89
  6. Step 6: Final answer
    x = 29,973.81

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1.5x scale

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.