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Finding the Fourth Proportional to 148,640.64, 222,980.64 and 78,522.72

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Solution

The fourth proportional to 148,640.64, 222,980.64 and 78,522.72 is: 117,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,640.64 : 222,980.64 = 78,522.72 : x
  2. Step 2: Convert to fraction form
    148,640.64/222,980.64 = 78,522.72/x
  3. Step 3: Cross multiply
    148,640.64x = 222,980.64 × 78,522.72
  4. Step 4: Simplify right side
    148,640.64x = 17,509,046,360.14
  5. Step 5: Solve for x
    x = 17,509,046,360.14/148,640.64
  6. Step 6: Final answer
    x = 117,794.48

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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.