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Finding the Fourth Proportional to 118,266.75, 163,223.24 and 78,064.22

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Solution

The fourth proportional to 118,266.75, 163,223.24 and 78,064.22 is: 107,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,266.75 : 163,223.24 = 78,064.22 : x
  2. Step 2: Convert to fraction form
    118,266.75/163,223.24 = 78,064.22/x
  3. Step 3: Cross multiply
    118,266.75x = 163,223.24 × 78,064.22
  4. Step 4: Simplify right side
    118,266.75x = 12,741,894,934.21
  5. Step 5: Solve for x
    x = 12,741,894,934.21/118,266.75
  6. Step 6: Final answer
    x = 107,738.61

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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.