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Finding the Fourth Proportional to 78,440.67, 117,664.61 and 25,850.61

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Solution

The fourth proportional to 78,440.67, 117,664.61 and 25,850.61 is: 38,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,440.67 : 117,664.61 = 25,850.61 : x
  2. Step 2: Convert to fraction form
    78,440.67/117,664.61 = 25,850.61/x
  3. Step 3: Cross multiply
    78,440.67x = 117,664.61 × 25,850.61
  4. Step 4: Simplify right side
    78,440.67x = 3,041,701,814.66
  5. Step 5: Solve for x
    x = 3,041,701,814.66/78,440.67
  6. Step 6: Final answer
    x = 38,777.10

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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.