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Finding the Fourth Proportional to 78,489.96, 117,717.10 and 22,328.80

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Solution

The fourth proportional to 78,489.96, 117,717.10 and 22,328.80 is: 33,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,489.96 : 117,717.10 = 22,328.80 : x
  2. Step 2: Convert to fraction form
    78,489.96/117,717.10 = 22,328.80/x
  3. Step 3: Cross multiply
    78,489.96x = 117,717.10 × 22,328.80
  4. Step 4: Simplify right side
    78,489.96x = 2,628,481,582.48
  5. Step 5: Solve for x
    x = 2,628,481,582.48/78,489.96
  6. Step 6: Final answer
    x = 33,488.12

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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.