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Finding the Fourth Proportional to 188,068.82, 259,530.29 and 105,281.65

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Solution

The fourth proportional to 188,068.82, 259,530.29 and 105,281.65 is: 145,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,068.82 : 259,530.29 = 105,281.65 : x
  2. Step 2: Convert to fraction form
    188,068.82/259,530.29 = 105,281.65/x
  3. Step 3: Cross multiply
    188,068.82x = 259,530.29 × 105,281.65
  4. Step 4: Simplify right side
    188,068.82x = 27,323,776,244.15
  5. Step 5: Solve for x
    x = 27,323,776,244.15/188,068.82
  6. Step 6: Final answer
    x = 145,286.05

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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.