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Finding the Fourth Proportional to 99,898.24, 149,721.60 and 87,388.48

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Solution

The fourth proportional to 99,898.24, 149,721.60 and 87,388.48 is: 130,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,898.24 : 149,721.60 = 87,388.48 : x
  2. Step 2: Convert to fraction form
    99,898.24/149,721.60 = 87,388.48/x
  3. Step 3: Cross multiply
    99,898.24x = 149,721.60 × 87,388.48
  4. Step 4: Simplify right side
    99,898.24x = 13,083,943,047.17
  5. Step 5: Solve for x
    x = 13,083,943,047.17/99,898.24
  6. Step 6: Final answer
    x = 130,972.71

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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.