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Finding the Fourth Proportional to 73,788.60, 110,668.14 and 21,185.76

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Solution

The fourth proportional to 73,788.60, 110,668.14 and 21,185.76 is: 31,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,788.60 : 110,668.14 = 21,185.76 : x
  2. Step 2: Convert to fraction form
    73,788.60/110,668.14 = 21,185.76/x
  3. Step 3: Cross multiply
    73,788.60x = 110,668.14 × 21,185.76
  4. Step 4: Simplify right side
    73,788.60x = 2,344,588,653.69
  5. Step 5: Solve for x
    x = 2,344,588,653.69/73,788.60
  6. Step 6: Final answer
    x = 31,774.40

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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.