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Finding the Fourth Proportional to 106,128.64, 146,471.64 and 68,512.24

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Solution

The fourth proportional to 106,128.64, 146,471.64 and 68,512.24 is: 94,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,128.64 : 146,471.64 = 68,512.24 : x
  2. Step 2: Convert to fraction form
    106,128.64/146,471.64 = 68,512.24/x
  3. Step 3: Cross multiply
    106,128.64x = 146,471.64 × 68,512.24
  4. Step 4: Simplify right side
    106,128.64x = 10,035,100,152.87
  5. Step 5: Solve for x
    x = 10,035,100,152.87/106,128.64
  6. Step 6: Final answer
    x = 94,556.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.