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Finding the Fourth Proportional to 151,911, 209,655 and 91,512.14

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Solution

The fourth proportional to 151,911, 209,655 and 91,512.14 is: 126,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,911 : 209,655 = 91,512.14 : x
  2. Step 2: Convert to fraction form
    151,911/209,655 = 91,512.14/x
  3. Step 3: Cross multiply
    151,911x = 209,655 × 91,512.14
  4. Step 4: Simplify right side
    151,911x = 19,185,977,711.70
  5. Step 5: Solve for x
    x = 19,185,977,711.70/151,911
  6. Step 6: Final answer
    x = 126,297.49

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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.