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Finding the Fourth Proportional to 106,996.52, 159,792.17 and 85,968.51

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Solution

The fourth proportional to 106,996.52, 159,792.17 and 85,968.51 is: 128,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,996.52 : 159,792.17 = 85,968.51 : x
  2. Step 2: Convert to fraction form
    106,996.52/159,792.17 = 85,968.51/x
  3. Step 3: Cross multiply
    106,996.52x = 159,792.17 × 85,968.51
  4. Step 4: Simplify right side
    106,996.52x = 13,737,094,334.72
  5. Step 5: Solve for x
    x = 13,737,094,334.72/106,996.52
  6. Step 6: Final answer
    x = 128,388.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.