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Finding the Fourth Proportional to 78,579, 117,890.14 and 23,175

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Solution

The fourth proportional to 78,579, 117,890.14 and 23,175 is: 34,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,579 : 117,890.14 = 23,175 : x
  2. Step 2: Convert to fraction form
    78,579/117,890.14 = 23,175/x
  3. Step 3: Cross multiply
    78,579x = 117,890.14 × 23,175
  4. Step 4: Simplify right side
    78,579x = 2,732,103,994.50
  5. Step 5: Solve for x
    x = 2,732,103,994.50/78,579
  6. Step 6: Final answer
    x = 34,768.88

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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.