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Finding the Fourth Proportional to 162,469.32, 223,709.22 and 142,212.84

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Solution

The fourth proportional to 162,469.32, 223,709.22 and 142,212.84 is: 195,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,469.32 : 223,709.22 = 142,212.84 : x
  2. Step 2: Convert to fraction form
    162,469.32/223,709.22 = 142,212.84/x
  3. Step 3: Cross multiply
    162,469.32x = 223,709.22 × 142,212.84
  4. Step 4: Simplify right side
    162,469.32x = 31,814,323,510.38
  5. Step 5: Solve for x
    x = 31,814,323,510.38/162,469.32
  6. Step 6: Final answer
    x = 195,817.42

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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.