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Finding the Fourth Proportional to 188,862, 283,293.18 and 78,056.88

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Solution

The fourth proportional to 188,862, 283,293.18 and 78,056.88 is: 117,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,862 : 283,293.18 = 78,056.88 : x
  2. Step 2: Convert to fraction form
    188,862/283,293.18 = 78,056.88/x
  3. Step 3: Cross multiply
    188,862x = 283,293.18 × 78,056.88
  4. Step 4: Simplify right side
    188,862x = 22,112,981,756.08
  5. Step 5: Solve for x
    x = 22,112,981,756.08/188,862
  6. Step 6: Final answer
    x = 117,085.39

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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.