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Finding the Fourth Proportional to 78,182, 117,292.48 and 22,778

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Solution

The fourth proportional to 78,182, 117,292.48 and 22,778 is: 34,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182 : 117,292.48 = 22,778 : x
  2. Step 2: Convert to fraction form
    78,182/117,292.48 = 22,778/x
  3. Step 3: Cross multiply
    78,182x = 117,292.48 × 22,778
  4. Step 4: Simplify right side
    78,182x = 2,671,688,109.44
  5. Step 5: Solve for x
    x = 2,671,688,109.44/78,182
  6. Step 6: Final answer
    x = 34,172.68

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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.