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Finding the Fourth Proportional to 207,612.30, 310,900.05 and 137,109.90

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Solution

The fourth proportional to 207,612.30, 310,900.05 and 137,109.90 is: 205,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,612.30 : 310,900.05 = 137,109.90 : x
  2. Step 2: Convert to fraction form
    207,612.30/310,900.05 = 137,109.90/x
  3. Step 3: Cross multiply
    207,612.30x = 310,900.05 × 137,109.90
  4. Step 4: Simplify right side
    207,612.30x = 42,627,474,765.50
  5. Step 5: Solve for x
    x = 42,627,474,765.50/207,612.30
  6. Step 6: Final answer
    x = 205,322.49

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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.