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Finding the Fourth Proportional to 219,724, 329,469.36 and 101,334.40

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Solution

The fourth proportional to 219,724, 329,469.36 and 101,334.40 is: 151,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,724 : 329,469.36 = 101,334.40 : x
  2. Step 2: Convert to fraction form
    219,724/329,469.36 = 101,334.40/x
  3. Step 3: Cross multiply
    219,724x = 329,469.36 × 101,334.40
  4. Step 4: Simplify right side
    219,724x = 33,386,579,913.98
  5. Step 5: Solve for x
    x = 33,386,579,913.98/219,724
  6. Step 6: Final answer
    x = 151,947.81

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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.