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Finding the Fourth Proportional to 94,640.84, 142,053.60 and 78,168.68

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Solution

The fourth proportional to 94,640.84, 142,053.60 and 78,168.68 is: 117,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,640.84 : 142,053.60 = 78,168.68 : x
  2. Step 2: Convert to fraction form
    94,640.84/142,053.60 = 78,168.68/x
  3. Step 3: Cross multiply
    94,640.84x = 142,053.60 × 78,168.68
  4. Step 4: Simplify right side
    94,640.84x = 11,104,142,401.25
  5. Step 5: Solve for x
    x = 11,104,142,401.25/94,640.84
  6. Step 6: Final answer
    x = 117,329.29

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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.