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Finding the Fourth Proportional to 349,422, 524,133.12 and 86,766

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Solution

The fourth proportional to 349,422, 524,133.12 and 86,766 is: 130,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,422 : 524,133.12 = 86,766 : x
  2. Step 2: Convert to fraction form
    349,422/524,133.12 = 86,766/x
  3. Step 3: Cross multiply
    349,422x = 524,133.12 × 86,766
  4. Step 4: Simplify right side
    349,422x = 45,476,934,289.92
  5. Step 5: Solve for x
    x = 45,476,934,289.92/349,422
  6. Step 6: Final answer
    x = 130,149.03

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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.