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Finding the Fourth Proportional to 78,580, 117,891.64 and 23,176

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Solution

The fourth proportional to 78,580, 117,891.64 and 23,176 is: 34,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,580 : 117,891.64 = 23,176 : x
  2. Step 2: Convert to fraction form
    78,580/117,891.64 = 23,176/x
  3. Step 3: Cross multiply
    78,580x = 117,891.64 × 23,176
  4. Step 4: Simplify right side
    78,580x = 2,732,256,648.64
  5. Step 5: Solve for x
    x = 2,732,256,648.64/78,580
  6. Step 6: Final answer
    x = 34,770.38

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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.