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Finding the Fourth Proportional to 57,288.70, 85,835.85 and 47,374.30

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Solution

The fourth proportional to 57,288.70, 85,835.85 and 47,374.30 is: 70,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,288.70 : 85,835.85 = 47,374.30 : x
  2. Step 2: Convert to fraction form
    57,288.70/85,835.85 = 47,374.30/x
  3. Step 3: Cross multiply
    57,288.70x = 85,835.85 × 47,374.30
  4. Step 4: Simplify right side
    57,288.70x = 4,066,413,308.66
  5. Step 5: Solve for x
    x = 4,066,413,308.66/57,288.70
  6. Step 6: Final answer
    x = 70,981.07

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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.