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Finding the Fourth Proportional to 142,063.20, 212,947.20 and 57,787.20

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Solution

The fourth proportional to 142,063.20, 212,947.20 and 57,787.20 is: 86,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,063.20 : 212,947.20 = 57,787.20 : x
  2. Step 2: Convert to fraction form
    142,063.20/212,947.20 = 57,787.20/x
  3. Step 3: Cross multiply
    142,063.20x = 212,947.20 × 57,787.20
  4. Step 4: Simplify right side
    142,063.20x = 12,305,622,435.84
  5. Step 5: Solve for x
    x = 12,305,622,435.84/142,063.20
  6. Step 6: Final answer
    x = 86,620.76

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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.