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Finding the Fourth Proportional to 151,476.99, 209,028.81 and 83,494.50

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Solution

The fourth proportional to 151,476.99, 209,028.81 and 83,494.50 is: 115,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,476.99 : 209,028.81 = 83,494.50 : x
  2. Step 2: Convert to fraction form
    151,476.99/209,028.81 = 83,494.50/x
  3. Step 3: Cross multiply
    151,476.99x = 209,028.81 × 83,494.50
  4. Step 4: Simplify right side
    151,476.99x = 17,452,755,976.55
  5. Step 5: Solve for x
    x = 17,452,755,976.55/151,476.99
  6. Step 6: Final answer
    x = 115,217.21

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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.