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Finding the Fourth Proportional to 85,524.94, 128,174.34 and 61,911.40

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Solution

The fourth proportional to 85,524.94, 128,174.34 and 61,911.40 is: 92,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,524.94 : 128,174.34 = 61,911.40 : x
  2. Step 2: Convert to fraction form
    85,524.94/128,174.34 = 61,911.40/x
  3. Step 3: Cross multiply
    85,524.94x = 128,174.34 × 61,911.40
  4. Step 4: Simplify right side
    85,524.94x = 7,935,452,833.48
  5. Step 5: Solve for x
    x = 7,935,452,833.48/85,524.94
  6. Step 6: Final answer
    x = 92,785.25

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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.