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Finding the Fourth Proportional to 106,339.40, 159,470.70 and 53,731.40

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Solution

The fourth proportional to 106,339.40, 159,470.70 and 53,731.40 is: 80,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,339.40 : 159,470.70 = 53,731.40 : x
  2. Step 2: Convert to fraction form
    106,339.40/159,470.70 = 53,731.40/x
  3. Step 3: Cross multiply
    106,339.40x = 159,470.70 × 53,731.40
  4. Step 4: Simplify right side
    106,339.40x = 8,568,583,969.98
  5. Step 5: Solve for x
    x = 8,568,583,969.98/106,339.40
  6. Step 6: Final answer
    x = 80,577.70

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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.