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Finding the Fourth Proportional to 57,765.96, 86,648.94 and 31,492.80

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Solution

The fourth proportional to 57,765.96, 86,648.94 and 31,492.80 is: 47,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765.96 : 86,648.94 = 31,492.80 : x
  2. Step 2: Convert to fraction form
    57,765.96/86,648.94 = 31,492.80/x
  3. Step 3: Cross multiply
    57,765.96x = 86,648.94 × 31,492.80
  4. Step 4: Simplify right side
    57,765.96x = 2,728,817,737.63
  5. Step 5: Solve for x
    x = 2,728,817,737.63/57,765.96
  6. Step 6: Final answer
    x = 47,239.20

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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.