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Finding the Fourth Proportional to 78,299.68, 117,466.80 and 22,900

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Solution

The fourth proportional to 78,299.68, 117,466.80 and 22,900 is: 34,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,299.68 : 117,466.80 = 22,900 : x
  2. Step 2: Convert to fraction form
    78,299.68/117,466.80 = 22,900/x
  3. Step 3: Cross multiply
    78,299.68x = 117,466.80 × 22,900
  4. Step 4: Simplify right side
    78,299.68x = 2,689,989,720
  5. Step 5: Solve for x
    x = 2,689,989,720/78,299.68
  6. Step 6: Final answer
    x = 34,355.05

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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.