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Finding the Fourth Proportional to 73,187.48, 109,788.54 and 19,880.30

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Solution

The fourth proportional to 73,187.48, 109,788.54 and 19,880.30 is: 29,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,187.48 : 109,788.54 = 19,880.30 : x
  2. Step 2: Convert to fraction form
    73,187.48/109,788.54 = 19,880.30/x
  3. Step 3: Cross multiply
    73,187.48x = 109,788.54 × 19,880.30
  4. Step 4: Simplify right side
    73,187.48x = 2,182,629,111.76
  5. Step 5: Solve for x
    x = 2,182,629,111.76/73,187.48
  6. Step 6: Final answer
    x = 29,822.44

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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.