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Finding the Fourth Proportional to 85,710.86, 128,649.21 and 41,368.82

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Solution

The fourth proportional to 85,710.86, 128,649.21 and 41,368.82 is: 62,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,710.86 : 128,649.21 = 41,368.82 : x
  2. Step 2: Convert to fraction form
    85,710.86/128,649.21 = 41,368.82/x
  3. Step 3: Cross multiply
    85,710.86x = 128,649.21 × 41,368.82
  4. Step 4: Simplify right side
    85,710.86x = 5,322,065,368.39
  5. Step 5: Solve for x
    x = 5,322,065,368.39/85,710.86
  6. Step 6: Final answer
    x = 62,093.25

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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.