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Finding the Fourth Proportional to 156,135, 234,208.98 and 45,327

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Solution

The fourth proportional to 156,135, 234,208.98 and 45,327 is: 67,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,135 : 234,208.98 = 45,327 : x
  2. Step 2: Convert to fraction form
    156,135/234,208.98 = 45,327/x
  3. Step 3: Cross multiply
    156,135x = 234,208.98 × 45,327
  4. Step 4: Simplify right side
    156,135x = 10,615,990,436.46
  5. Step 5: Solve for x
    x = 10,615,990,436.46/156,135
  6. Step 6: Final answer
    x = 67,992.38

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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.