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Finding the Fourth Proportional to 109,499.90, 163,942.65 and 106,427.90

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Solution

The fourth proportional to 109,499.90, 163,942.65 and 106,427.90 is: 159,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,499.90 : 163,942.65 = 106,427.90 : x
  2. Step 2: Convert to fraction form
    109,499.90/163,942.65 = 106,427.90/x
  3. Step 3: Cross multiply
    109,499.90x = 163,942.65 × 106,427.90
  4. Step 4: Simplify right side
    109,499.90x = 17,448,071,959.94
  5. Step 5: Solve for x
    x = 17,448,071,959.94/109,499.90
  6. Step 6: Final answer
    x = 159,343.27

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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.