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Finding the Fourth Proportional to 206,675, 310,015.38 and 58,931

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Solution

The fourth proportional to 206,675, 310,015.38 and 58,931 is: 88,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,675 : 310,015.38 = 58,931 : x
  2. Step 2: Convert to fraction form
    206,675/310,015.38 = 58,931/x
  3. Step 3: Cross multiply
    206,675x = 310,015.38 × 58,931
  4. Step 4: Simplify right side
    206,675x = 18,269,516,358.78
  5. Step 5: Solve for x
    x = 18,269,516,358.78/206,675
  6. Step 6: Final answer
    x = 88,397.32

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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.