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Finding the Fourth Proportional to 188,282.84, 259,830.32 and 103,399.91

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Solution

The fourth proportional to 188,282.84, 259,830.32 and 103,399.91 is: 142,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282.84 : 259,830.32 = 103,399.91 : x
  2. Step 2: Convert to fraction form
    188,282.84/259,830.32 = 103,399.91/x
  3. Step 3: Cross multiply
    188,282.84x = 259,830.32 × 103,399.91
  4. Step 4: Simplify right side
    188,282.84x = 26,866,429,887.12
  5. Step 5: Solve for x
    x = 26,866,429,887.12/188,282.84
  6. Step 6: Final answer
    x = 142,691.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.