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Finding the Fourth Proportional to 286,172.46, 429,266.88 and 75,810.38

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Solution

The fourth proportional to 286,172.46, 429,266.88 and 75,810.38 is: 113,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,172.46 : 429,266.88 = 75,810.38 : x
  2. Step 2: Convert to fraction form
    286,172.46/429,266.88 = 75,810.38/x
  3. Step 3: Cross multiply
    286,172.46x = 429,266.88 × 75,810.38
  4. Step 4: Simplify right side
    286,172.46x = 32,542,883,147.88
  5. Step 5: Solve for x
    x = 32,542,883,147.88/286,172.46
  6. Step 6: Final answer
    x = 113,717.73

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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.