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Finding the Fourth Proportional to 142,124.36, 213,149.40 and 42,257.64

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Solution

The fourth proportional to 142,124.36, 213,149.40 and 42,257.64 is: 63,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,124.36 : 213,149.40 = 42,257.64 : x
  2. Step 2: Convert to fraction form
    142,124.36/213,149.40 = 42,257.64/x
  3. Step 3: Cross multiply
    142,124.36x = 213,149.40 × 42,257.64
  4. Step 4: Simplify right side
    142,124.36x = 9,007,190,611.42
  5. Step 5: Solve for x
    x = 9,007,190,611.42/142,124.36
  6. Step 6: Final answer
    x = 63,375.42

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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.