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Finding the Fourth Proportional to 286,043.32, 429,134.34 and 86,351.78

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Solution

The fourth proportional to 286,043.32, 429,134.34 and 86,351.78 is: 129,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,043.32 : 429,134.34 = 86,351.78 : x
  2. Step 2: Convert to fraction form
    286,043.32/429,134.34 = 86,351.78/x
  3. Step 3: Cross multiply
    286,043.32x = 429,134.34 × 86,351.78
  4. Step 4: Simplify right side
    286,043.32x = 37,056,514,118.13
  5. Step 5: Solve for x
    x = 37,056,514,118.13/286,043.32
  6. Step 6: Final answer
    x = 129,548.61

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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.