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Finding the Fourth Proportional to 85,712.86, 128,652.21 and 41,370.82

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Solution

The fourth proportional to 85,712.86, 128,652.21 and 41,370.82 is: 62,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,712.86 : 128,652.21 = 41,370.82 : x
  2. Step 2: Convert to fraction form
    85,712.86/128,652.21 = 41,370.82/x
  3. Step 3: Cross multiply
    85,712.86x = 128,652.21 × 41,370.82
  4. Step 4: Simplify right side
    85,712.86x = 5,322,447,422.51
  5. Step 5: Solve for x
    x = 5,322,447,422.51/85,712.86
  6. Step 6: Final answer
    x = 62,096.25

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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.