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Finding the Fourth Proportional to 129,222, 178,337.76 and 72,633.84

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Solution

The fourth proportional to 129,222, 178,337.76 and 72,633.84 is: 100,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,222 : 178,337.76 = 72,633.84 : x
  2. Step 2: Convert to fraction form
    129,222/178,337.76 = 72,633.84/x
  3. Step 3: Cross multiply
    129,222x = 178,337.76 × 72,633.84
  4. Step 4: Simplify right side
    129,222x = 12,953,356,325.80
  5. Step 5: Solve for x
    x = 12,953,356,325.80/129,222
  6. Step 6: Final answer
    x = 100,241.11

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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.