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Finding the Fourth Proportional to 77,415, 116,142 and 22,011

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Solution

The fourth proportional to 77,415, 116,142 and 22,011 is: 33,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415 : 116,142 = 22,011 : x
  2. Step 2: Convert to fraction form
    77,415/116,142 = 22,011/x
  3. Step 3: Cross multiply
    77,415x = 116,142 × 22,011
  4. Step 4: Simplify right side
    77,415x = 2,556,401,562
  5. Step 5: Solve for x
    x = 2,556,401,562/77,415
  6. Step 6: Final answer
    x = 33,022.04

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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.