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Finding the Fourth Proportional to 258,057.31, 387,131.36 and 117,830.11

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Solution

The fourth proportional to 258,057.31, 387,131.36 and 117,830.11 is: 176,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,057.31 : 387,131.36 = 117,830.11 : x
  2. Step 2: Convert to fraction form
    258,057.31/387,131.36 = 117,830.11/x
  3. Step 3: Cross multiply
    258,057.31x = 387,131.36 × 117,830.11
  4. Step 4: Simplify right side
    258,057.31x = 45,615,730,733.25
  5. Step 5: Solve for x
    x = 45,615,730,733.25/258,057.31
  6. Step 6: Final answer
    x = 176,765.89

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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.