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Finding the Fourth Proportional to 57,208.60, 85,812.90 and 51,765.40

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Solution

The fourth proportional to 57,208.60, 85,812.90 and 51,765.40 is: 77,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.60 : 85,812.90 = 51,765.40 : x
  2. Step 2: Convert to fraction form
    57,208.60/85,812.90 = 51,765.40/x
  3. Step 3: Cross multiply
    57,208.60x = 85,812.90 × 51,765.40
  4. Step 4: Simplify right side
    57,208.60x = 4,442,139,093.66
  5. Step 5: Solve for x
    x = 4,442,139,093.66/57,208.60
  6. Step 6: Final answer
    x = 77,648.10

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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.