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Finding the Fourth Proportional to 78,839.70, 118,223.10 and 34,443.60

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Solution

The fourth proportional to 78,839.70, 118,223.10 and 34,443.60 is: 51,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,839.70 : 118,223.10 = 34,443.60 : x
  2. Step 2: Convert to fraction form
    78,839.70/118,223.10 = 34,443.60/x
  3. Step 3: Cross multiply
    78,839.70x = 118,223.10 × 34,443.60
  4. Step 4: Simplify right side
    78,839.70x = 4,072,029,167.16
  5. Step 5: Solve for x
    x = 4,072,029,167.16/78,839.70
  6. Step 6: Final answer
    x = 51,649.48

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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.