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Finding the Fourth Proportional to 64,423.20, 88,902.72 and 36,138

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Solution

The fourth proportional to 64,423.20, 88,902.72 and 36,138 is: 49,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,423.20 : 88,902.72 = 36,138 : x
  2. Step 2: Convert to fraction form
    64,423.20/88,902.72 = 36,138/x
  3. Step 3: Cross multiply
    64,423.20x = 88,902.72 × 36,138
  4. Step 4: Simplify right side
    64,423.20x = 3,212,766,495.36
  5. Step 5: Solve for x
    x = 3,212,766,495.36/64,423.20
  6. Step 6: Final answer
    x = 49,869.71

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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.