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Finding the Fourth Proportional to 258,476.80, 387,583.94 and 118,115.14

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Solution

The fourth proportional to 258,476.80, 387,583.94 and 118,115.14 is: 177,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,476.80 : 387,583.94 = 118,115.14 : x
  2. Step 2: Convert to fraction form
    258,476.80/387,583.94 = 118,115.14/x
  3. Step 3: Cross multiply
    258,476.80x = 387,583.94 × 118,115.14
  4. Step 4: Simplify right side
    258,476.80x = 45,779,531,334.85
  5. Step 5: Solve for x
    x = 45,779,531,334.85/258,476.80
  6. Step 6: Final answer
    x = 177,112.73

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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.