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Finding the Fourth Proportional to 207,787.20, 310,903.20 and 137,803.20

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Solution

The fourth proportional to 207,787.20, 310,903.20 and 137,803.20 is: 206,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,787.20 : 310,903.20 = 137,803.20 : x
  2. Step 2: Convert to fraction form
    207,787.20/310,903.20 = 137,803.20/x
  3. Step 3: Cross multiply
    207,787.20x = 310,903.20 × 137,803.20
  4. Step 4: Simplify right side
    207,787.20x = 42,843,455,850.24
  5. Step 5: Solve for x
    x = 42,843,455,850.24/207,787.20
  6. Step 6: Final answer
    x = 206,189.10

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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.