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Finding the Fourth Proportional to 73,188.20, 109,788.78 and 30,484.20

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Solution

The fourth proportional to 73,188.20, 109,788.78 and 30,484.20 is: 45,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,188.20 : 109,788.78 = 30,484.20 : x
  2. Step 2: Convert to fraction form
    73,188.20/109,788.78 = 30,484.20/x
  3. Step 3: Cross multiply
    73,188.20x = 109,788.78 × 30,484.20
  4. Step 4: Simplify right side
    73,188.20x = 3,346,823,127.28
  5. Step 5: Solve for x
    x = 3,346,823,127.28/73,188.20
  6. Step 6: Final answer
    x = 45,729.00

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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.