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Finding the Fourth Proportional to 286,119.84, 429,196.17 and 75,752.31

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Solution

The fourth proportional to 286,119.84, 429,196.17 and 75,752.31 is: 113,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,119.84 : 429,196.17 = 75,752.31 : x
  2. Step 2: Convert to fraction form
    286,119.84/429,196.17 = 75,752.31/x
  3. Step 3: Cross multiply
    286,119.84x = 429,196.17 × 75,752.31
  4. Step 4: Simplify right side
    286,119.84x = 32,512,601,320.65
  5. Step 5: Solve for x
    x = 32,512,601,320.65/286,119.84
  6. Step 6: Final answer
    x = 113,632.81

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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.