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Finding the Fourth Proportional to 73,809.40, 110,696.10 and 21,213.40

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Solution

The fourth proportional to 73,809.40, 110,696.10 and 21,213.40 is: 31,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,809.40 : 110,696.10 = 21,213.40 : x
  2. Step 2: Convert to fraction form
    73,809.40/110,696.10 = 21,213.40/x
  3. Step 3: Cross multiply
    73,809.40x = 110,696.10 × 21,213.40
  4. Step 4: Simplify right side
    73,809.40x = 2,348,240,647.74
  5. Step 5: Solve for x
    x = 2,348,240,647.74/73,809.40
  6. Step 6: Final answer
    x = 31,814.93

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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.