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Finding the Fourth Proportional to 57,764.20, 86,646.30 and 51,203.20

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Solution

The fourth proportional to 57,764.20, 86,646.30 and 51,203.20 is: 76,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764.20 : 86,646.30 = 51,203.20 : x
  2. Step 2: Convert to fraction form
    57,764.20/86,646.30 = 51,203.20/x
  3. Step 3: Cross multiply
    57,764.20x = 86,646.30 × 51,203.20
  4. Step 4: Simplify right side
    57,764.20x = 4,436,567,828.16
  5. Step 5: Solve for x
    x = 4,436,567,828.16/57,764.20
  6. Step 6: Final answer
    x = 76,804.80

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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.