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Finding the Fourth Proportional to 57,970.50, 86,980.77 and 31,311.20

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Solution

The fourth proportional to 57,970.50, 86,980.77 and 31,311.20 is: 46,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970.50 : 86,980.77 = 31,311.20 : x
  2. Step 2: Convert to fraction form
    57,970.50/86,980.77 = 31,311.20/x
  3. Step 3: Cross multiply
    57,970.50x = 86,980.77 × 31,311.20
  4. Step 4: Simplify right side
    57,970.50x = 2,723,471,850.72
  5. Step 5: Solve for x
    x = 2,723,471,850.72/57,970.50
  6. Step 6: Final answer
    x = 46,980.31

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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.