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Finding the Fourth Proportional to 122,362.80, 168,891.71 and 83,616.32

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Solution

The fourth proportional to 122,362.80, 168,891.71 and 83,616.32 is: 115,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,362.80 : 168,891.71 = 83,616.32 : x
  2. Step 2: Convert to fraction form
    122,362.80/168,891.71 = 83,616.32/x
  3. Step 3: Cross multiply
    122,362.80x = 168,891.71 × 83,616.32
  4. Step 4: Simplify right side
    122,362.80x = 14,122,102,006.17
  5. Step 5: Solve for x
    x = 14,122,102,006.17/122,362.80
  6. Step 6: Final answer
    x = 115,411.73

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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.