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Finding the Fourth Proportional to 207,870.34, 311,665.40 and 167,938.45

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Solution

The fourth proportional to 207,870.34, 311,665.40 and 167,938.45 is: 251,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,870.34 : 311,665.40 = 167,938.45 : x
  2. Step 2: Convert to fraction form
    207,870.34/311,665.40 = 167,938.45/x
  3. Step 3: Cross multiply
    207,870.34x = 311,665.40 × 167,938.45
  4. Step 4: Simplify right side
    207,870.34x = 52,340,604,194.63
  5. Step 5: Solve for x
    x = 52,340,604,194.63/207,870.34
  6. Step 6: Final answer
    x = 251,794.48

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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.