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Finding the Fourth Proportional to 78,651, 117,995.94 and 23,247

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Solution

The fourth proportional to 78,651, 117,995.94 and 23,247 is: 34,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,651 : 117,995.94 = 23,247 : x
  2. Step 2: Convert to fraction form
    78,651/117,995.94 = 23,247/x
  3. Step 3: Cross multiply
    78,651x = 117,995.94 × 23,247
  4. Step 4: Simplify right side
    78,651x = 2,743,051,617.18
  5. Step 5: Solve for x
    x = 2,743,051,617.18/78,651
  6. Step 6: Final answer
    x = 34,876.25

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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.