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Finding the Fourth Proportional to 101,209.86, 151,816.59 and 31,089.78

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Solution

The fourth proportional to 101,209.86, 151,816.59 and 31,089.78 is: 46,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,209.86 : 151,816.59 = 31,089.78 : x
  2. Step 2: Convert to fraction form
    101,209.86/151,816.59 = 31,089.78/x
  3. Step 3: Cross multiply
    101,209.86x = 151,816.59 × 31,089.78
  4. Step 4: Simplify right side
    101,209.86x = 4,719,944,383.45
  5. Step 5: Solve for x
    x = 4,719,944,383.45/101,209.86
  6. Step 6: Final answer
    x = 46,635.22

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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.