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Finding the Fourth Proportional to 156,229, 234,383.46 and 45,421

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Solution

The fourth proportional to 156,229, 234,383.46 and 45,421 is: 68,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,229 : 234,383.46 = 45,421 : x
  2. Step 2: Convert to fraction form
    156,229/234,383.46 = 45,421/x
  3. Step 3: Cross multiply
    156,229x = 234,383.46 × 45,421
  4. Step 4: Simplify right side
    156,229x = 10,645,931,136.66
  5. Step 5: Solve for x
    x = 10,645,931,136.66/156,229
  6. Step 6: Final answer
    x = 68,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.