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Finding the Fourth Proportional to 212,625.92, 318,970 and 77,696.66

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Solution

The fourth proportional to 212,625.92, 318,970 and 77,696.66 is: 116,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,625.92 : 318,970 = 77,696.66 : x
  2. Step 2: Convert to fraction form
    212,625.92/318,970 = 77,696.66/x
  3. Step 3: Cross multiply
    212,625.92x = 318,970 × 77,696.66
  4. Step 4: Simplify right side
    212,625.92x = 24,782,903,640.20
  5. Step 5: Solve for x
    x = 24,782,903,640.20/212,625.92
  6. Step 6: Final answer
    x = 116,556.36

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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.