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Finding the Fourth Proportional to 123,902.62, 170,985.62 and 67,314

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Solution

The fourth proportional to 123,902.62, 170,985.62 and 67,314 is: 92,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,902.62 : 170,985.62 = 67,314 : x
  2. Step 2: Convert to fraction form
    123,902.62/170,985.62 = 67,314/x
  3. Step 3: Cross multiply
    123,902.62x = 170,985.62 × 67,314
  4. Step 4: Simplify right side
    123,902.62x = 11,509,726,024.68
  5. Step 5: Solve for x
    x = 11,509,726,024.68/123,902.62
  6. Step 6: Final answer
    x = 92,893.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.