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Finding the Fourth Proportional to 57,104.79, 85,627.60 and 30,443.60

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Solution

The fourth proportional to 57,104.79, 85,627.60 and 30,443.60 is: 45,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,104.79 : 85,627.60 = 30,443.60 : x
  2. Step 2: Convert to fraction form
    57,104.79/85,627.60 = 30,443.60/x
  3. Step 3: Cross multiply
    57,104.79x = 85,627.60 × 30,443.60
  4. Step 4: Simplify right side
    57,104.79x = 2,606,812,403.36
  5. Step 5: Solve for x
    x = 2,606,812,403.36/57,104.79
  6. Step 6: Final answer
    x = 45,649.63

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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.