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Finding the Fourth Proportional to 78,162.91, 107,866.80 and 47,964.91

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Solution

The fourth proportional to 78,162.91, 107,866.80 and 47,964.91 is: 66,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.91 : 107,866.80 = 47,964.91 : x
  2. Step 2: Convert to fraction form
    78,162.91/107,866.80 = 47,964.91/x
  3. Step 3: Cross multiply
    78,162.91x = 107,866.80 × 47,964.91
  4. Step 4: Simplify right side
    78,162.91x = 5,173,821,353.99
  5. Step 5: Solve for x
    x = 5,173,821,353.99/78,162.91
  6. Step 6: Final answer
    x = 66,192.79

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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.