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Finding the Fourth Proportional to 207,795.45, 310,915.56 and 137,811.45

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Solution

The fourth proportional to 207,795.45, 310,915.56 and 137,811.45 is: 206,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,795.45 : 310,915.56 = 137,811.45 : x
  2. Step 2: Convert to fraction form
    207,795.45/310,915.56 = 137,811.45/x
  3. Step 3: Cross multiply
    207,795.45x = 310,915.56 × 137,811.45
  4. Step 4: Simplify right side
    207,795.45x = 42,847,724,151.16
  5. Step 5: Solve for x
    x = 42,847,724,151.16/207,795.45
  6. Step 6: Final answer
    x = 206,201.46

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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.