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Finding the Fourth Proportional to 202,079.14, 278,871.19 and 111,438.32

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Solution

The fourth proportional to 202,079.14, 278,871.19 and 111,438.32 is: 153,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,079.14 : 278,871.19 = 111,438.32 : x
  2. Step 2: Convert to fraction form
    202,079.14/278,871.19 = 111,438.32/x
  3. Step 3: Cross multiply
    202,079.14x = 278,871.19 × 111,438.32
  4. Step 4: Simplify right side
    202,079.14x = 31,076,935,237.05
  5. Step 5: Solve for x
    x = 31,076,935,237.05/202,079.14
  6. Step 6: Final answer
    x = 153,785.97

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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.