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Finding the Fourth Proportional to 106,286.40, 146,512.80 and 68,512.32

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Solution

The fourth proportional to 106,286.40, 146,512.80 and 68,512.32 is: 94,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,286.40 : 146,512.80 = 68,512.32 : x
  2. Step 2: Convert to fraction form
    106,286.40/146,512.80 = 68,512.32/x
  3. Step 3: Cross multiply
    106,286.40x = 146,512.80 × 68,512.32
  4. Step 4: Simplify right side
    106,286.40x = 10,037,931,837.70
  5. Step 5: Solve for x
    x = 10,037,931,837.70/106,286.40
  6. Step 6: Final answer
    x = 94,442.30

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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.