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Finding the Fourth Proportional to 106,685.87, 160,129.25 and 54,133.07

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Solution

The fourth proportional to 106,685.87, 160,129.25 and 54,133.07 is: 81,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,685.87 : 160,129.25 = 54,133.07 : x
  2. Step 2: Convert to fraction form
    106,685.87/160,129.25 = 54,133.07/x
  3. Step 3: Cross multiply
    106,685.87x = 160,129.25 × 54,133.07
  4. Step 4: Simplify right side
    106,685.87x = 8,668,287,628.63
  5. Step 5: Solve for x
    x = 8,668,287,628.63/106,685.87
  6. Step 6: Final answer
    x = 81,250.57

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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.