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Finding the Fourth Proportional to 103,010.87, 154,540.40 and 31,929.78

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Solution

The fourth proportional to 103,010.87, 154,540.40 and 31,929.78 is: 47,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,010.87 : 154,540.40 = 31,929.78 : x
  2. Step 2: Convert to fraction form
    103,010.87/154,540.40 = 31,929.78/x
  3. Step 3: Cross multiply
    103,010.87x = 154,540.40 × 31,929.78
  4. Step 4: Simplify right side
    103,010.87x = 4,934,440,813.46
  5. Step 5: Solve for x
    x = 4,934,440,813.46/103,010.87
  6. Step 6: Final answer
    x = 47,902.14

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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.