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Finding the Fourth Proportional to 118,881.74, 164,049.90 and 71,134.68

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Solution

The fourth proportional to 118,881.74, 164,049.90 and 71,134.68 is: 98,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,881.74 : 164,049.90 = 71,134.68 : x
  2. Step 2: Convert to fraction form
    118,881.74/164,049.90 = 71,134.68/x
  3. Step 3: Cross multiply
    118,881.74x = 164,049.90 × 71,134.68
  4. Step 4: Simplify right side
    118,881.74x = 11,669,637,140.53
  5. Step 5: Solve for x
    x = 11,669,637,140.53/118,881.74
  6. Step 6: Final answer
    x = 98,161.73

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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.