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Finding the Fourth Proportional to 78,633, 117,969.48 and 23,229

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Solution

The fourth proportional to 78,633, 117,969.48 and 23,229 is: 34,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,633 : 117,969.48 = 23,229 : x
  2. Step 2: Convert to fraction form
    78,633/117,969.48 = 23,229/x
  3. Step 3: Cross multiply
    78,633x = 117,969.48 × 23,229
  4. Step 4: Simplify right side
    78,633x = 2,740,313,050.92
  5. Step 5: Solve for x
    x = 2,740,313,050.92/78,633
  6. Step 6: Final answer
    x = 34,849.40

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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.