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Finding the Fourth Proportional to 85,710.45, 128,648.60 and 41,368.42

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Solution

The fourth proportional to 85,710.45, 128,648.60 and 41,368.42 is: 62,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,710.45 : 128,648.60 = 41,368.42 : x
  2. Step 2: Convert to fraction form
    85,710.45/128,648.60 = 41,368.42/x
  3. Step 3: Cross multiply
    85,710.45x = 128,648.60 × 41,368.42
  4. Step 4: Simplify right side
    85,710.45x = 5,321,989,317.21
  5. Step 5: Solve for x
    x = 5,321,989,317.21/85,710.45
  6. Step 6: Final answer
    x = 62,092.65

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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.