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Finding the Fourth Proportional to 85,842.90, 128,791.35 and 41,471.10

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Solution

The fourth proportional to 85,842.90, 128,791.35 and 41,471.10 is: 62,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842.90 : 128,791.35 = 41,471.10 : x
  2. Step 2: Convert to fraction form
    85,842.90/128,791.35 = 41,471.10/x
  3. Step 3: Cross multiply
    85,842.90x = 128,791.35 × 41,471.10
  4. Step 4: Simplify right side
    85,842.90x = 5,341,118,954.99
  5. Step 5: Solve for x
    x = 5,341,118,954.99/85,842.90
  6. Step 6: Final answer
    x = 62,219.69

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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.