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Finding the Fourth Proportional to 188,445.60, 282,376.80 and 126,043.20

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Solution

The fourth proportional to 188,445.60, 282,376.80 and 126,043.20 is: 188,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,445.60 : 282,376.80 = 126,043.20 : x
  2. Step 2: Convert to fraction form
    188,445.60/282,376.80 = 126,043.20/x
  3. Step 3: Cross multiply
    188,445.60x = 282,376.80 × 126,043.20
  4. Step 4: Simplify right side
    188,445.60x = 35,591,675,477.76
  5. Step 5: Solve for x
    x = 35,591,675,477.76/188,445.60
  6. Step 6: Final answer
    x = 188,869.76

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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.