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Finding the Fourth Proportional to 162,473.82, 223,715.43 and 142,217.34

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Solution

The fourth proportional to 162,473.82, 223,715.43 and 142,217.34 is: 195,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,473.82 : 223,715.43 = 142,217.34 : x
  2. Step 2: Convert to fraction form
    162,473.82/223,715.43 = 142,217.34/x
  3. Step 3: Cross multiply
    162,473.82x = 223,715.43 × 142,217.34
  4. Step 4: Simplify right side
    162,473.82x = 31,816,213,371.56
  5. Step 5: Solve for x
    x = 31,816,213,371.56/162,473.82
  6. Step 6: Final answer
    x = 195,823.63

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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.