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Finding the Fourth Proportional to 142,420.60, 213,635.22 and 48,925

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Solution

The fourth proportional to 142,420.60, 213,635.22 and 48,925 is: 73,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,420.60 : 213,635.22 = 48,925 : x
  2. Step 2: Convert to fraction form
    142,420.60/213,635.22 = 48,925/x
  3. Step 3: Cross multiply
    142,420.60x = 213,635.22 × 48,925
  4. Step 4: Simplify right side
    142,420.60x = 10,452,103,138.50
  5. Step 5: Solve for x
    x = 10,452,103,138.50/142,420.60
  6. Step 6: Final answer
    x = 73,388.98

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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.