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Finding the Fourth Proportional to 78,583, 117,877.74 and 23,179

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Solution

The fourth proportional to 78,583, 117,877.74 and 23,179 is: 34,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,583 : 117,877.74 = 23,179 : x
  2. Step 2: Convert to fraction form
    78,583/117,877.74 = 23,179/x
  3. Step 3: Cross multiply
    78,583x = 117,877.74 × 23,179
  4. Step 4: Simplify right side
    78,583x = 2,732,288,135.46
  5. Step 5: Solve for x
    x = 2,732,288,135.46/78,583
  6. Step 6: Final answer
    x = 34,769.46

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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.