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Finding the Fourth Proportional to 129,156.27, 178,228.80 and 72,564

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Solution

The fourth proportional to 129,156.27, 178,228.80 and 72,564 is: 100,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,156.27 : 178,228.80 = 72,564 : x
  2. Step 2: Convert to fraction form
    129,156.27/178,228.80 = 72,564/x
  3. Step 3: Cross multiply
    129,156.27x = 178,228.80 × 72,564
  4. Step 4: Simplify right side
    129,156.27x = 12,932,994,643.20
  5. Step 5: Solve for x
    x = 12,932,994,643.20/129,156.27
  6. Step 6: Final answer
    x = 100,134.47

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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.