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Finding the Fourth Proportional to 159,426.36, 220,099.87 and 105,784.11

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Solution

The fourth proportional to 159,426.36, 220,099.87 and 105,784.11 is: 146,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,426.36 : 220,099.87 = 105,784.11 : x
  2. Step 2: Convert to fraction form
    159,426.36/220,099.87 = 105,784.11/x
  3. Step 3: Cross multiply
    159,426.36x = 220,099.87 × 105,784.11
  4. Step 4: Simplify right side
    159,426.36x = 23,283,068,859.07
  5. Step 5: Solve for x
    x = 23,283,068,859.07/159,426.36
  6. Step 6: Final answer
    x = 146,042.78

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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.