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Finding the Fourth Proportional to 109,356.30, 164,034.45 and 69,957.90

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Solution

The fourth proportional to 109,356.30, 164,034.45 and 69,957.90 is: 104,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356.30 : 164,034.45 = 69,957.90 : x
  2. Step 2: Convert to fraction form
    109,356.30/164,034.45 = 69,957.90/x
  3. Step 3: Cross multiply
    109,356.30x = 164,034.45 × 69,957.90
  4. Step 4: Simplify right side
    109,356.30x = 11,475,505,649.66
  5. Step 5: Solve for x
    x = 11,475,505,649.66/109,356.30
  6. Step 6: Final answer
    x = 104,936.85

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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.