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Finding the Fourth Proportional to 159,160.10, 219,731.75 and 105,517.76

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Solution

The fourth proportional to 159,160.10, 219,731.75 and 105,517.76 is: 145,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,160.10 : 219,731.75 = 105,517.76 : x
  2. Step 2: Convert to fraction form
    159,160.10/219,731.75 = 105,517.76/x
  3. Step 3: Cross multiply
    159,160.10x = 219,731.75 × 105,517.76
  4. Step 4: Simplify right side
    159,160.10x = 23,185,600,434.63
  5. Step 5: Solve for x
    x = 23,185,600,434.63/159,160.10
  6. Step 6: Final answer
    x = 145,674.71

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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.