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Finding the Fourth Proportional to 156,912, 216,236.16 and 100,224.96

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Solution

The fourth proportional to 156,912, 216,236.16 and 100,224.96 is: 138,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912 : 216,236.16 = 100,224.96 : x
  2. Step 2: Convert to fraction form
    156,912/216,236.16 = 100,224.96/x
  3. Step 3: Cross multiply
    156,912x = 216,236.16 × 100,224.96
  4. Step 4: Simplify right side
    156,912x = 21,672,260,486.55
  5. Step 5: Solve for x
    x = 21,672,260,486.55/156,912
  6. Step 6: Final answer
    x = 138,117.29

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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.