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Finding the Fourth Proportional to 121,408.34, 167,162.24 and 103,223.30

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Solution

The fourth proportional to 121,408.34, 167,162.24 and 103,223.30 is: 142,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,408.34 : 167,162.24 = 103,223.30 : x
  2. Step 2: Convert to fraction form
    121,408.34/167,162.24 = 103,223.30/x
  3. Step 3: Cross multiply
    121,408.34x = 167,162.24 × 103,223.30
  4. Step 4: Simplify right side
    121,408.34x = 17,255,037,470.44
  5. Step 5: Solve for x
    x = 17,255,037,470.44/121,408.34
  6. Step 6: Final answer
    x = 142,123.99

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1.5x scale

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.