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Finding the Fourth Proportional to 258,499.67, 387,749.64 and 118,159.88

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Solution

The fourth proportional to 258,499.67, 387,749.64 and 118,159.88 is: 177,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,499.67 : 387,749.64 = 118,159.88 : x
  2. Step 2: Convert to fraction form
    258,499.67/387,749.64 = 118,159.88/x
  3. Step 3: Cross multiply
    258,499.67x = 387,749.64 × 118,159.88
  4. Step 4: Simplify right side
    258,499.67x = 45,816,448,993.70
  5. Step 5: Solve for x
    x = 45,816,448,993.70/258,499.67
  6. Step 6: Final answer
    x = 177,239.88

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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.