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Finding the Fourth Proportional to 191,858.22, 287,884.53 and 129,397.50

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Solution

The fourth proportional to 191,858.22, 287,884.53 and 129,397.50 is: 194,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,858.22 : 287,884.53 = 129,397.50 : x
  2. Step 2: Convert to fraction form
    191,858.22/287,884.53 = 129,397.50/x
  3. Step 3: Cross multiply
    191,858.22x = 287,884.53 × 129,397.50
  4. Step 4: Simplify right side
    191,858.22x = 37,251,538,470.68
  5. Step 5: Solve for x
    x = 37,251,538,470.68/191,858.22
  6. Step 6: Final answer
    x = 194,161.81

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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.