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Finding the Fourth Proportional to 77,880.57, 116,830.57 and 30,489.54

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Solution

The fourth proportional to 77,880.57, 116,830.57 and 30,489.54 is: 45,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,880.57 : 116,830.57 = 30,489.54 : x
  2. Step 2: Convert to fraction form
    77,880.57/116,830.57 = 30,489.54/x
  3. Step 3: Cross multiply
    77,880.57x = 116,830.57 × 30,489.54
  4. Step 4: Simplify right side
    77,880.57x = 3,562,110,337.24
  5. Step 5: Solve for x
    x = 3,562,110,337.24/77,880.57
  6. Step 6: Final answer
    x = 45,738.11

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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.