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Finding the Fourth Proportional to 142,520.33, 213,787.38 and 37,339.40

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Solution

The fourth proportional to 142,520.33, 213,787.38 and 37,339.40 is: 56,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,520.33 : 213,787.38 = 37,339.40 : x
  2. Step 2: Convert to fraction form
    142,520.33/213,787.38 = 37,339.40/x
  3. Step 3: Cross multiply
    142,520.33x = 213,787.38 × 37,339.40
  4. Step 4: Simplify right side
    142,520.33x = 7,982,691,427.84
  5. Step 5: Solve for x
    x = 7,982,691,427.84/142,520.33
  6. Step 6: Final answer
    x = 56,010.90

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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.