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Finding the Fourth Proportional to 188,859.60, 283,289.40 and 105,742.80

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Solution

The fourth proportional to 188,859.60, 283,289.40 and 105,742.80 is: 158,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,859.60 : 283,289.40 = 105,742.80 : x
  2. Step 2: Convert to fraction form
    188,859.60/283,289.40 = 105,742.80/x
  3. Step 3: Cross multiply
    188,859.60x = 283,289.40 × 105,742.80
  4. Step 4: Simplify right side
    188,859.60x = 29,955,814,366.32
  5. Step 5: Solve for x
    x = 29,955,814,366.32/188,859.60
  6. Step 6: Final answer
    x = 158,614.20

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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.