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Finding the Fourth Proportional to 101,785.44, 152,700.30 and 31,670.40

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Solution

The fourth proportional to 101,785.44, 152,700.30 and 31,670.40 is: 47,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785.44 : 152,700.30 = 31,670.40 : x
  2. Step 2: Convert to fraction form
    101,785.44/152,700.30 = 31,670.40/x
  3. Step 3: Cross multiply
    101,785.44x = 152,700.30 × 31,670.40
  4. Step 4: Simplify right side
    101,785.44x = 4,836,079,581.12
  5. Step 5: Solve for x
    x = 4,836,079,581.12/101,785.44
  6. Step 6: Final answer
    x = 47,512.49

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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.