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Finding the Fourth Proportional to 77,421, 116,151 and 22,017

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Solution

The fourth proportional to 77,421, 116,151 and 22,017 is: 33,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,421 : 116,151 = 22,017 : x
  2. Step 2: Convert to fraction form
    77,421/116,151 = 22,017/x
  3. Step 3: Cross multiply
    77,421x = 116,151 × 22,017
  4. Step 4: Simplify right side
    77,421x = 2,557,296,567
  5. Step 5: Solve for x
    x = 2,557,296,567/77,421
  6. Step 6: Final answer
    x = 33,031.05

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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.