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Finding the Fourth Proportional to 142,608.87, 213,899.38 and 37,427.84

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Solution

The fourth proportional to 142,608.87, 213,899.38 and 37,427.84 is: 56,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,608.87 : 213,899.38 = 37,427.84 : x
  2. Step 2: Convert to fraction form
    142,608.87/213,899.38 = 37,427.84/x
  3. Step 3: Cross multiply
    142,608.87x = 213,899.38 × 37,427.84
  4. Step 4: Simplify right side
    142,608.87x = 8,005,791,770.74
  5. Step 5: Solve for x
    x = 8,005,791,770.74/142,608.87
  6. Step 6: Final answer
    x = 56,138.11

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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.