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Finding the Fourth Proportional to 103,038.50, 154,500.90 and 31,941.44

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Solution

The fourth proportional to 103,038.50, 154,500.90 and 31,941.44 is: 47,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,038.50 : 154,500.90 = 31,941.44 : x
  2. Step 2: Convert to fraction form
    103,038.50/154,500.90 = 31,941.44/x
  3. Step 3: Cross multiply
    103,038.50x = 154,500.90 × 31,941.44
  4. Step 4: Simplify right side
    103,038.50x = 4,934,981,227.30
  5. Step 5: Solve for x
    x = 4,934,981,227.30/103,038.50
  6. Step 6: Final answer
    x = 47,894.54

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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.