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Finding the Fourth Proportional to 175,635, 242,310.15 and 115,238.97

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Solution

The fourth proportional to 175,635, 242,310.15 and 115,238.97 is: 158,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,635 : 242,310.15 = 115,238.97 : x
  2. Step 2: Convert to fraction form
    175,635/242,310.15 = 115,238.97/x
  3. Step 3: Cross multiply
    175,635x = 242,310.15 × 115,238.97
  4. Step 4: Simplify right side
    175,635x = 27,923,572,106.55
  5. Step 5: Solve for x
    x = 27,923,572,106.55/175,635
  6. Step 6: Final answer
    x = 158,986.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.