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Finding the Fourth Proportional to 77,763.78, 116,640.81 and 40,312.62

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Solution

The fourth proportional to 77,763.78, 116,640.81 and 40,312.62 is: 60,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,763.78 : 116,640.81 = 40,312.62 : x
  2. Step 2: Convert to fraction form
    77,763.78/116,640.81 = 40,312.62/x
  3. Step 3: Cross multiply
    77,763.78x = 116,640.81 × 40,312.62
  4. Step 4: Simplify right side
    77,763.78x = 4,702,096,650.02
  5. Step 5: Solve for x
    x = 4,702,096,650.02/77,763.78
  6. Step 6: Final answer
    x = 60,466.41

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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.