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Finding the Fourth Proportional to 151,453.36, 209,006.49 and 87,828.94

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Solution

The fourth proportional to 151,453.36, 209,006.49 and 87,828.94 is: 121,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,453.36 : 209,006.49 = 87,828.94 : x
  2. Step 2: Convert to fraction form
    151,453.36/209,006.49 = 87,828.94/x
  3. Step 3: Cross multiply
    151,453.36x = 209,006.49 × 87,828.94
  4. Step 4: Simplify right side
    151,453.36x = 18,356,818,469.82
  5. Step 5: Solve for x
    x = 18,356,818,469.82/151,453.36
  6. Step 6: Final answer
    x = 121,204.43

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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.