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Finding the Fourth Proportional to 118,148.64, 177,069.87 and 47,989.68

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Solution

The fourth proportional to 118,148.64, 177,069.87 and 47,989.68 is: 71,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,148.64 : 177,069.87 = 47,989.68 : x
  2. Step 2: Convert to fraction form
    118,148.64/177,069.87 = 47,989.68/x
  3. Step 3: Cross multiply
    118,148.64x = 177,069.87 × 47,989.68
  4. Step 4: Simplify right side
    118,148.64x = 8,497,526,398.94
  5. Step 5: Solve for x
    x = 8,497,526,398.94/118,148.64
  6. Step 6: Final answer
    x = 71,922.34

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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.