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Finding the Fourth Proportional to 207,683.69, 312,175.80 and 137,060.16

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Solution

The fourth proportional to 207,683.69, 312,175.80 and 137,060.16 is: 206,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,683.69 : 312,175.80 = 137,060.16 : x
  2. Step 2: Convert to fraction form
    207,683.69/312,175.80 = 137,060.16/x
  3. Step 3: Cross multiply
    207,683.69x = 312,175.80 × 137,060.16
  4. Step 4: Simplify right side
    207,683.69x = 42,786,863,192.60
  5. Step 5: Solve for x
    x = 42,786,863,192.60/207,683.69
  6. Step 6: Final answer
    x = 206,019.38

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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.