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Finding the Fourth Proportional to 253,889.37, 380,841.51 and 111,660.86

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Solution

The fourth proportional to 253,889.37, 380,841.51 and 111,660.86 is: 167,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,889.37 : 380,841.51 = 111,660.86 : x
  2. Step 2: Convert to fraction form
    253,889.37/380,841.51 = 111,660.86/x
  3. Step 3: Cross multiply
    253,889.37x = 380,841.51 × 111,660.86
  4. Step 4: Simplify right side
    253,889.37x = 42,525,091,901.13
  5. Step 5: Solve for x
    x = 42,525,091,901.13/253,889.37
  6. Step 6: Final answer
    x = 167,494.57

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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.