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Finding the Fourth Proportional to 188,743.77, 283,164.66 and 70,416

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Solution

The fourth proportional to 188,743.77, 283,164.66 and 70,416 is: 105,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,743.77 : 283,164.66 = 70,416 : x
  2. Step 2: Convert to fraction form
    188,743.77/283,164.66 = 70,416/x
  3. Step 3: Cross multiply
    188,743.77x = 283,164.66 × 70,416
  4. Step 4: Simplify right side
    188,743.77x = 19,939,322,698.56
  5. Step 5: Solve for x
    x = 19,939,322,698.56/188,743.77
  6. Step 6: Final answer
    x = 105,642.28

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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.