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Finding the Fourth Proportional to 156,922, 216,553.12 and 85,302

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Solution

The fourth proportional to 156,922, 216,553.12 and 85,302 is: 117,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,922 : 216,553.12 = 85,302 : x
  2. Step 2: Convert to fraction form
    156,922/216,553.12 = 85,302/x
  3. Step 3: Cross multiply
    156,922x = 216,553.12 × 85,302
  4. Step 4: Simplify right side
    156,922x = 18,472,414,242.24
  5. Step 5: Solve for x
    x = 18,472,414,242.24/156,922
  6. Step 6: Final answer
    x = 117,717.17

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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.