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Finding the Fourth Proportional to 261,164.90, 391,858.08 and 142,697.84

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Solution

The fourth proportional to 261,164.90, 391,858.08 and 142,697.84 is: 214,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,164.90 : 391,858.08 = 142,697.84 : x
  2. Step 2: Convert to fraction form
    261,164.90/391,858.08 = 142,697.84/x
  3. Step 3: Cross multiply
    261,164.90x = 391,858.08 × 142,697.84
  4. Step 4: Simplify right side
    261,164.90x = 55,917,300,889.06
  5. Step 5: Solve for x
    x = 55,917,300,889.06/261,164.90
  6. Step 6: Final answer
    x = 214,107.26

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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.