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Finding the Fourth Proportional to 188,588.14, 283,068.11 and 138,527.71

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Solution

The fourth proportional to 188,588.14, 283,068.11 and 138,527.71 is: 207,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,588.14 : 283,068.11 = 138,527.71 : x
  2. Step 2: Convert to fraction form
    188,588.14/283,068.11 = 138,527.71/x
  3. Step 3: Cross multiply
    188,588.14x = 283,068.11 × 138,527.71
  4. Step 4: Simplify right side
    188,588.14x = 39,212,775,652.02
  5. Step 5: Solve for x
    x = 39,212,775,652.02/188,588.14
  6. Step 6: Final answer
    x = 207,928.11

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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.