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Finding the Fourth Proportional to 85,559.94, 128,352.60 and 29,414.52

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Solution

The fourth proportional to 85,559.94, 128,352.60 and 29,414.52 is: 44,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,559.94 : 128,352.60 = 29,414.52 : x
  2. Step 2: Convert to fraction form
    85,559.94/128,352.60 = 29,414.52/x
  3. Step 3: Cross multiply
    85,559.94x = 128,352.60 × 29,414.52
  4. Step 4: Simplify right side
    85,559.94x = 3,775,430,119.75
  5. Step 5: Solve for x
    x = 3,775,430,119.75/85,559.94
  6. Step 6: Final answer
    x = 44,126.14

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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.