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Finding the Fourth Proportional to 101,287.76, 151,918.32 and 31,161.20

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Solution

The fourth proportional to 101,287.76, 151,918.32 and 31,161.20 is: 46,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,287.76 : 151,918.32 = 31,161.20 : x
  2. Step 2: Convert to fraction form
    101,287.76/151,918.32 = 31,161.20/x
  3. Step 3: Cross multiply
    101,287.76x = 151,918.32 × 31,161.20
  4. Step 4: Simplify right side
    101,287.76x = 4,733,957,153.18
  5. Step 5: Solve for x
    x = 4,733,957,153.18/101,287.76
  6. Step 6: Final answer
    x = 46,737.70

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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.