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Finding the Fourth Proportional to 81,416.32, 122,123.52 and 45,880.32

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Solution

The fourth proportional to 81,416.32, 122,123.52 and 45,880.32 is: 68,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,416.32 : 122,123.52 = 45,880.32 : x
  2. Step 2: Convert to fraction form
    81,416.32/122,123.52 = 45,880.32/x
  3. Step 3: Cross multiply
    81,416.32x = 122,123.52 × 45,880.32
  4. Step 4: Simplify right side
    81,416.32x = 5,603,066,177.13
  5. Step 5: Solve for x
    x = 5,603,066,177.13/81,416.32
  6. Step 6: Final answer
    x = 68,819.94

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1.5x scale

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.