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Finding the Fourth Proportional to 286,195.88, 429,293.82 and 99,207.38

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Solution

The fourth proportional to 286,195.88, 429,293.82 and 99,207.38 is: 148,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,195.88 : 429,293.82 = 99,207.38 : x
  2. Step 2: Convert to fraction form
    286,195.88/429,293.82 = 99,207.38/x
  3. Step 3: Cross multiply
    286,195.88x = 429,293.82 × 99,207.38
  4. Step 4: Simplify right side
    286,195.88x = 42,589,115,132.39
  5. Step 5: Solve for x
    x = 42,589,115,132.39/286,195.88
  6. Step 6: Final answer
    x = 148,811.07

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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.