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Finding the Fourth Proportional to 286,044.90, 429,067.35 and 75,704.10

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Solution

The fourth proportional to 286,044.90, 429,067.35 and 75,704.10 is: 113,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,044.90 : 429,067.35 = 75,704.10 : x
  2. Step 2: Convert to fraction form
    286,044.90/429,067.35 = 75,704.10/x
  3. Step 3: Cross multiply
    286,044.90x = 429,067.35 × 75,704.10
  4. Step 4: Simplify right side
    286,044.90x = 32,482,157,571.14
  5. Step 5: Solve for x
    x = 32,482,157,571.14/286,044.90
  6. Step 6: Final answer
    x = 113,556.15

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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.