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Finding the Fourth Proportional to 78,582, 117,876.24 and 23,178

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Solution

The fourth proportional to 78,582, 117,876.24 and 23,178 is: 34,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,582 : 117,876.24 = 23,178 : x
  2. Step 2: Convert to fraction form
    78,582/117,876.24 = 23,178/x
  3. Step 3: Cross multiply
    78,582x = 117,876.24 × 23,178
  4. Step 4: Simplify right side
    78,582x = 2,732,135,490.72
  5. Step 5: Solve for x
    x = 2,732,135,490.72/78,582
  6. Step 6: Final answer
    x = 34,767.96

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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.