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Finding the Fourth Proportional to 76,478.52, 105,578.73 and 47,814.11

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Solution

The fourth proportional to 76,478.52, 105,578.73 and 47,814.11 is: 66,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.52 : 105,578.73 = 47,814.11 : x
  2. Step 2: Convert to fraction form
    76,478.52/105,578.73 = 47,814.11/x
  3. Step 3: Cross multiply
    76,478.52x = 105,578.73 × 47,814.11
  4. Step 4: Simplify right side
    76,478.52x = 5,048,152,481.99
  5. Step 5: Solve for x
    x = 5,048,152,481.99/76,478.52
  6. Step 6: Final answer
    x = 66,007.46

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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.