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Finding the Fourth Proportional to 140,153.40, 210,230.10 and 100,787.40

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Solution

The fourth proportional to 140,153.40, 210,230.10 and 100,787.40 is: 151,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,153.40 : 210,230.10 = 100,787.40 : x
  2. Step 2: Convert to fraction form
    140,153.40/210,230.10 = 100,787.40/x
  3. Step 3: Cross multiply
    140,153.40x = 210,230.10 × 100,787.40
  4. Step 4: Simplify right side
    140,153.40x = 21,188,545,180.74
  5. Step 5: Solve for x
    x = 21,188,545,180.74/140,153.40
  6. Step 6: Final answer
    x = 151,181.10

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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.