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Finding the Fourth Proportional to 85,701.72, 128,533.14 and 30,297.72

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Solution

The fourth proportional to 85,701.72, 128,533.14 and 30,297.72 is: 45,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,701.72 : 128,533.14 = 30,297.72 : x
  2. Step 2: Convert to fraction form
    85,701.72/128,533.14 = 30,297.72/x
  3. Step 3: Cross multiply
    85,701.72x = 128,533.14 × 30,297.72
  4. Step 4: Simplify right side
    85,701.72x = 3,894,261,086.44
  5. Step 5: Solve for x
    x = 3,894,261,086.44/85,701.72
  6. Step 6: Final answer
    x = 45,439.71

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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.