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Finding the Fourth Proportional to 142,662.28, 214,029.02 and 42,824.32

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Solution

The fourth proportional to 142,662.28, 214,029.02 and 42,824.32 is: 64,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,662.28 : 214,029.02 = 42,824.32 : x
  2. Step 2: Convert to fraction form
    142,662.28/214,029.02 = 42,824.32/x
  3. Step 3: Cross multiply
    142,662.28x = 214,029.02 × 42,824.32
  4. Step 4: Simplify right side
    142,662.28x = 9,165,647,241.77
  5. Step 5: Solve for x
    x = 9,165,647,241.77/142,662.28
  6. Step 6: Final answer
    x = 64,247.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.