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Finding the Fourth Proportional to 57,722.60, 86,656.80 and 31,089.80

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Solution

The fourth proportional to 57,722.60, 86,656.80 and 31,089.80 is: 46,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.60 : 86,656.80 = 31,089.80 : x
  2. Step 2: Convert to fraction form
    57,722.60/86,656.80 = 31,089.80/x
  3. Step 3: Cross multiply
    57,722.60x = 86,656.80 × 31,089.80
  4. Step 4: Simplify right side
    57,722.60x = 2,694,142,580.64
  5. Step 5: Solve for x
    x = 2,694,142,580.64/57,722.60
  6. Step 6: Final answer
    x = 46,673.96

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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.