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Finding the Fourth Proportional to 258,575.25, 387,994.10 and 118,369.11

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Solution

The fourth proportional to 258,575.25, 387,994.10 and 118,369.11 is: 177,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,575.25 : 387,994.10 = 118,369.11 : x
  2. Step 2: Convert to fraction form
    258,575.25/387,994.10 = 118,369.11/x
  3. Step 3: Cross multiply
    258,575.25x = 387,994.10 × 118,369.11
  4. Step 4: Simplify right side
    258,575.25x = 45,926,515,710.41
  5. Step 5: Solve for x
    x = 45,926,515,710.41/258,575.25
  6. Step 6: Final answer
    x = 177,613.73

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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.