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Finding the Fourth Proportional to 163,411.20, 225,550.08 and 99,792

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Solution

The fourth proportional to 163,411.20, 225,550.08 and 99,792 is: 137,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,411.20 : 225,550.08 = 99,792 : x
  2. Step 2: Convert to fraction form
    163,411.20/225,550.08 = 99,792/x
  3. Step 3: Cross multiply
    163,411.20x = 225,550.08 × 99,792
  4. Step 4: Simplify right side
    163,411.20x = 22,508,093,583.36
  5. Step 5: Solve for x
    x = 22,508,093,583.36/163,411.20
  6. Step 6: Final answer
    x = 137,738.99

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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.