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Finding the Fourth Proportional to 93,919.50, 140,879.25 and 31,590

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Solution

The fourth proportional to 93,919.50, 140,879.25 and 31,590 is: 47,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,919.50 : 140,879.25 = 31,590 : x
  2. Step 2: Convert to fraction form
    93,919.50/140,879.25 = 31,590/x
  3. Step 3: Cross multiply
    93,919.50x = 140,879.25 × 31,590
  4. Step 4: Simplify right side
    93,919.50x = 4,450,375,507.50
  5. Step 5: Solve for x
    x = 4,450,375,507.50/93,919.50
  6. Step 6: Final answer
    x = 47,385

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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.