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Finding the Fourth Proportional to 77,412, 116,137.52 and 22,008

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Solution

The fourth proportional to 77,412, 116,137.52 and 22,008 is: 33,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412 : 116,137.52 = 22,008 : x
  2. Step 2: Convert to fraction form
    77,412/116,137.52 = 22,008/x
  3. Step 3: Cross multiply
    77,412x = 116,137.52 × 22,008
  4. Step 4: Simplify right side
    77,412x = 2,555,954,430.12
  5. Step 5: Solve for x
    x = 2,555,954,430.12/77,412
  6. Step 6: Final answer
    x = 33,017.55

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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.