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Finding the Fourth Proportional to 106,161.86, 146,526.93 and 83,145.86

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Solution

The fourth proportional to 106,161.86, 146,526.93 and 83,145.86 is: 114,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,161.86 : 146,526.93 = 83,145.86 : x
  2. Step 2: Convert to fraction form
    106,161.86/146,526.93 = 83,145.86/x
  3. Step 3: Cross multiply
    106,161.86x = 146,526.93 × 83,145.86
  4. Step 4: Simplify right side
    106,161.86x = 12,183,107,608.01
  5. Step 5: Solve for x
    x = 12,183,107,608.01/106,161.86
  6. Step 6: Final answer
    x = 114,759.74

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1.5x scale

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.