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Finding the Fourth Proportional to 118,149.64, 177,071.37 and 47,990.68

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Solution

The fourth proportional to 118,149.64, 177,071.37 and 47,990.68 is: 71,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,149.64 : 177,071.37 = 47,990.68 : x
  2. Step 2: Convert to fraction form
    118,149.64/177,071.37 = 47,990.68/x
  3. Step 3: Cross multiply
    118,149.64x = 177,071.37 × 47,990.68
  4. Step 4: Simplify right side
    118,149.64x = 8,497,775,454.83
  5. Step 5: Solve for x
    x = 8,497,775,454.83/118,149.64
  6. Step 6: Final answer
    x = 71,923.84

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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.