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Finding the Fourth Proportional to 286,593.73, 429,235.02 and 136,939.21

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Solution

The fourth proportional to 286,593.73, 429,235.02 and 136,939.21 is: 205,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,593.73 : 429,235.02 = 136,939.21 : x
  2. Step 2: Convert to fraction form
    286,593.73/429,235.02 = 136,939.21/x
  3. Step 3: Cross multiply
    286,593.73x = 429,235.02 × 136,939.21
  4. Step 4: Simplify right side
    286,593.73x = 58,779,103,470.05
  5. Step 5: Solve for x
    x = 58,779,103,470.05/286,593.73
  6. Step 6: Final answer
    x = 205,095.57

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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.