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Finding the Fourth Proportional to 120,787.80, 180,965.70 and 58,320.60

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Solution

The fourth proportional to 120,787.80, 180,965.70 and 58,320.60 is: 87,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787.80 : 180,965.70 = 58,320.60 : x
  2. Step 2: Convert to fraction form
    120,787.80/180,965.70 = 58,320.60/x
  3. Step 3: Cross multiply
    120,787.80x = 180,965.70 × 58,320.60
  4. Step 4: Simplify right side
    120,787.80x = 10,554,028,203.42
  5. Step 5: Solve for x
    x = 10,554,028,203.42/120,787.80
  6. Step 6: Final answer
    x = 87,376.61

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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.