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Finding the Fourth Proportional to 86,877.75, 119,890.49 and 49,152

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Solution

The fourth proportional to 86,877.75, 119,890.49 and 49,152 is: 67,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,877.75 : 119,890.49 = 49,152 : x
  2. Step 2: Convert to fraction form
    86,877.75/119,890.49 = 49,152/x
  3. Step 3: Cross multiply
    86,877.75x = 119,890.49 × 49,152
  4. Step 4: Simplify right side
    86,877.75x = 5,892,857,118.72
  5. Step 5: Solve for x
    x = 5,892,857,118.72/86,877.75
  6. Step 6: Final answer
    x = 67,829.30

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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.