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Finding the Fourth Proportional to 93,640.70, 140,461.05 and 31,311.20

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Solution

The fourth proportional to 93,640.70, 140,461.05 and 31,311.20 is: 46,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,640.70 : 140,461.05 = 31,311.20 : x
  2. Step 2: Convert to fraction form
    93,640.70/140,461.05 = 31,311.20/x
  3. Step 3: Cross multiply
    93,640.70x = 140,461.05 × 31,311.20
  4. Step 4: Simplify right side
    93,640.70x = 4,398,004,028.76
  5. Step 5: Solve for x
    x = 4,398,004,028.76/93,640.70
  6. Step 6: Final answer
    x = 46,966.80

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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.