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Finding the Fourth Proportional to 85,782.48, 128,498.67 and 44,142

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Solution

The fourth proportional to 85,782.48, 128,498.67 and 44,142 is: 66,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,782.48 : 128,498.67 = 44,142 : x
  2. Step 2: Convert to fraction form
    85,782.48/128,498.67 = 44,142/x
  3. Step 3: Cross multiply
    85,782.48x = 128,498.67 × 44,142
  4. Step 4: Simplify right side
    85,782.48x = 5,672,188,291.14
  5. Step 5: Solve for x
    x = 5,672,188,291.14/85,782.48
  6. Step 6: Final answer
    x = 66,122.92

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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.