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Finding the Fourth Proportional to 231,314.70, 346,972.05 and 138,002.70

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Solution

The fourth proportional to 231,314.70, 346,972.05 and 138,002.70 is: 207,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,314.70 : 346,972.05 = 138,002.70 : x
  2. Step 2: Convert to fraction form
    231,314.70/346,972.05 = 138,002.70/x
  3. Step 3: Cross multiply
    231,314.70x = 346,972.05 × 138,002.70
  4. Step 4: Simplify right side
    231,314.70x = 47,883,079,724.54
  5. Step 5: Solve for x
    x = 47,883,079,724.54/231,314.70
  6. Step 6: Final answer
    x = 207,004.05

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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.