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Finding the Fourth Proportional to 207,931.40, 312,042.90 and 133,233.20

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Solution

The fourth proportional to 207,931.40, 312,042.90 and 133,233.20 is: 199,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,931.40 : 312,042.90 = 133,233.20 : x
  2. Step 2: Convert to fraction form
    207,931.40/312,042.90 = 133,233.20/x
  3. Step 3: Cross multiply
    207,931.40x = 312,042.90 × 133,233.20
  4. Step 4: Simplify right side
    207,931.40x = 41,574,474,104.28
  5. Step 5: Solve for x
    x = 41,574,474,104.28/207,931.40
  6. Step 6: Final answer
    x = 199,943.22

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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.