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Finding the Fourth Proportional to 77,491.20, 116,221.49 and 21,316.82

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Solution

The fourth proportional to 77,491.20, 116,221.49 and 21,316.82 is: 31,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491.20 : 116,221.49 = 21,316.82 : x
  2. Step 2: Convert to fraction form
    77,491.20/116,221.49 = 21,316.82/x
  3. Step 3: Cross multiply
    77,491.20x = 116,221.49 × 21,316.82
  4. Step 4: Simplify right side
    77,491.20x = 2,477,472,054.65
  5. Step 5: Solve for x
    x = 2,477,472,054.65/77,491.20
  6. Step 6: Final answer
    x = 31,971.01

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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.