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Finding the Fourth Proportional to 222,142.79, 306,238.19 and 158,369.87

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Solution

The fourth proportional to 222,142.79, 306,238.19 and 158,369.87 is: 218,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,142.79 : 306,238.19 = 158,369.87 : x
  2. Step 2: Convert to fraction form
    222,142.79/306,238.19 = 158,369.87/x
  3. Step 3: Cross multiply
    222,142.79x = 306,238.19 × 158,369.87
  4. Step 4: Simplify right side
    222,142.79x = 48,498,900,808.14
  5. Step 5: Solve for x
    x = 48,498,900,808.14/222,142.79
  6. Step 6: Final answer
    x = 218,323.10

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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.