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Finding the Fourth Proportional to 78,575, 117,866.16 and 22,418.96

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Solution

The fourth proportional to 78,575, 117,866.16 and 22,418.96 is: 33,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,575 : 117,866.16 = 22,418.96 : x
  2. Step 2: Convert to fraction form
    78,575/117,866.16 = 22,418.96/x
  3. Step 3: Cross multiply
    78,575x = 117,866.16 × 22,418.96
  4. Step 4: Simplify right side
    78,575x = 2,642,436,726.39
  5. Step 5: Solve for x
    x = 2,642,436,726.39/78,575
  6. Step 6: Final answer
    x = 33,629.48

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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.