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Finding the Fourth Proportional to 202,079.26, 278,870.70 and 111,438.64

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Solution

The fourth proportional to 202,079.26, 278,870.70 and 111,438.64 is: 153,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,079.26 : 278,870.70 = 111,438.64 : x
  2. Step 2: Convert to fraction form
    202,079.26/278,870.70 = 111,438.64/x
  3. Step 3: Cross multiply
    202,079.26x = 278,870.70 × 111,438.64
  4. Step 4: Simplify right side
    202,079.26x = 31,076,971,543.85
  5. Step 5: Solve for x
    x = 31,076,971,543.85/202,079.26
  6. Step 6: Final answer
    x = 153,786.05

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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.