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Finding the Fourth Proportional to 78,572.28, 117,859 and 22,412.28

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Solution

The fourth proportional to 78,572.28, 117,859 and 22,412.28 is: 33,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572.28 : 117,859 = 22,412.28 : x
  2. Step 2: Convert to fraction form
    78,572.28/117,859 = 22,412.28/x
  3. Step 3: Cross multiply
    78,572.28x = 117,859 × 22,412.28
  4. Step 4: Simplify right side
    78,572.28x = 2,641,488,908.52
  5. Step 5: Solve for x
    x = 2,641,488,908.52/78,572.28
  6. Step 6: Final answer
    x = 33,618.59

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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.