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Finding the Fourth Proportional to 186,898.35, 257,919.74 and 102,015.42

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Solution

The fourth proportional to 186,898.35, 257,919.74 and 102,015.42 is: 140,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,898.35 : 257,919.74 = 102,015.42 : x
  2. Step 2: Convert to fraction form
    186,898.35/257,919.74 = 102,015.42/x
  3. Step 3: Cross multiply
    186,898.35x = 257,919.74 × 102,015.42
  4. Step 4: Simplify right side
    186,898.35x = 26,311,790,092.31
  5. Step 5: Solve for x
    x = 26,311,790,092.31/186,898.35
  6. Step 6: Final answer
    x = 140,781.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.