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Finding the Fourth Proportional to 121,752.84, 182,377.67 and 71,678.64

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Solution

The fourth proportional to 121,752.84, 182,377.67 and 71,678.64 is: 107,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,752.84 : 182,377.67 = 71,678.64 : x
  2. Step 2: Convert to fraction form
    121,752.84/182,377.67 = 71,678.64/x
  3. Step 3: Cross multiply
    121,752.84x = 182,377.67 × 71,678.64
  4. Step 4: Simplify right side
    121,752.84x = 13,072,583,351.97
  5. Step 5: Solve for x
    x = 13,072,583,351.97/121,752.84
  6. Step 6: Final answer
    x = 107,369.84

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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.