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Finding the Fourth Proportional to 106,315.87, 159,572.63 and 53,763.07

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Solution

The fourth proportional to 106,315.87, 159,572.63 and 53,763.07 is: 80,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.87 : 159,572.63 = 53,763.07 : x
  2. Step 2: Convert to fraction form
    106,315.87/159,572.63 = 53,763.07/x
  3. Step 3: Cross multiply
    106,315.87x = 159,572.63 × 53,763.07
  4. Step 4: Simplify right side
    106,315.87x = 8,579,114,207.96
  5. Step 5: Solve for x
    x = 8,579,114,207.96/106,315.87
  6. Step 6: Final answer
    x = 80,694.58

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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.