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Finding the Fourth Proportional to 137,797.16, 206,503.16 and 74,480.74

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Solution

The fourth proportional to 137,797.16, 206,503.16 and 74,480.74 is: 111,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.16 : 206,503.16 = 74,480.74 : x
  2. Step 2: Convert to fraction form
    137,797.16/206,503.16 = 74,480.74/x
  3. Step 3: Cross multiply
    137,797.16x = 206,503.16 × 74,480.74
  4. Step 4: Simplify right side
    137,797.16x = 15,380,507,280.48
  5. Step 5: Solve for x
    x = 15,380,507,280.48/137,797.16
  6. Step 6: Final answer
    x = 111,617.02

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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.