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Finding the Fourth Proportional to 106,670.40, 160,005.60 and 81,787.20

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Solution

The fourth proportional to 106,670.40, 160,005.60 and 81,787.20 is: 122,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,670.40 : 160,005.60 = 81,787.20 : x
  2. Step 2: Convert to fraction form
    106,670.40/160,005.60 = 81,787.20/x
  3. Step 3: Cross multiply
    106,670.40x = 160,005.60 × 81,787.20
  4. Step 4: Simplify right side
    106,670.40x = 13,086,410,008.32
  5. Step 5: Solve for x
    x = 13,086,410,008.32/106,670.40
  6. Step 6: Final answer
    x = 122,680.80

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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.