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Finding the Fourth Proportional to 111,188.52, 166,732.29 and 47,978.69

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Solution

The fourth proportional to 111,188.52, 166,732.29 and 47,978.69 is: 71,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,188.52 : 166,732.29 = 47,978.69 : x
  2. Step 2: Convert to fraction form
    111,188.52/166,732.29 = 47,978.69/x
  3. Step 3: Cross multiply
    111,188.52x = 166,732.29 × 47,978.69
  4. Step 4: Simplify right side
    111,188.52x = 7,999,596,021.24
  5. Step 5: Solve for x
    x = 7,999,596,021.24/111,188.52
  6. Step 6: Final answer
    x = 71,946.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.