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Finding the Fourth Proportional to 85,846.34, 128,749.83 and 23,521.70

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Solution

The fourth proportional to 85,846.34, 128,749.83 and 23,521.70 is: 35,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,846.34 : 128,749.83 = 23,521.70 : x
  2. Step 2: Convert to fraction form
    85,846.34/128,749.83 = 23,521.70/x
  3. Step 3: Cross multiply
    85,846.34x = 128,749.83 × 23,521.70
  4. Step 4: Simplify right side
    85,846.34x = 3,028,414,876.31
  5. Step 5: Solve for x
    x = 3,028,414,876.31/85,846.34
  6. Step 6: Final answer
    x = 35,277.16

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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.