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Finding the Fourth Proportional to 137,712.53, 206,568.79 and 137,712.53

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Solution

The fourth proportional to 137,712.53, 206,568.79 and 137,712.53 is: 206,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.53 : 206,568.79 = 137,712.53 : x
  2. Step 2: Convert to fraction form
    137,712.53/206,568.79 = 137,712.53/x
  3. Step 3: Cross multiply
    137,712.53x = 206,568.79 × 137,712.53
  4. Step 4: Simplify right side
    137,712.53x = 28,447,109,312.81
  5. Step 5: Solve for x
    x = 28,447,109,312.81/137,712.53
  6. Step 6: Final answer
    x = 206,568.79

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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.