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Finding the Fourth Proportional to 156,336, 215,743.68 and 89,268

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Solution

The fourth proportional to 156,336, 215,743.68 and 89,268 is: 123,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,336 : 215,743.68 = 89,268 : x
  2. Step 2: Convert to fraction form
    156,336/215,743.68 = 89,268/x
  3. Step 3: Cross multiply
    156,336x = 215,743.68 × 89,268
  4. Step 4: Simplify right side
    156,336x = 19,259,006,826.24
  5. Step 5: Solve for x
    x = 19,259,006,826.24/156,336
  6. Step 6: Final answer
    x = 123,189.84

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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.