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Finding the Fourth Proportional to 78,402.44, 117,621.90 and 25,812.38

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Solution

The fourth proportional to 78,402.44, 117,621.90 and 25,812.38 is: 38,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,402.44 : 117,621.90 = 25,812.38 : x
  2. Step 2: Convert to fraction form
    78,402.44/117,621.90 = 25,812.38/x
  3. Step 3: Cross multiply
    78,402.44x = 117,621.90 × 25,812.38
  4. Step 4: Simplify right side
    78,402.44x = 3,036,101,179.12
  5. Step 5: Solve for x
    x = 3,036,101,179.12/78,402.44
  6. Step 6: Final answer
    x = 38,724.58

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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.