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Finding the Fourth Proportional to 188,902.80, 283,400.64 and 55,782.36

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Solution

The fourth proportional to 188,902.80, 283,400.64 and 55,782.36 is: 83,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,902.80 : 283,400.64 = 55,782.36 : x
  2. Step 2: Convert to fraction form
    188,902.80/283,400.64 = 55,782.36/x
  3. Step 3: Cross multiply
    188,902.80x = 283,400.64 × 55,782.36
  4. Step 4: Simplify right side
    188,902.80x = 15,808,756,524.71
  5. Step 5: Solve for x
    x = 15,808,756,524.71/188,902.80
  6. Step 6: Final answer
    x = 83,687.25

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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.