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Finding the Fourth Proportional to 57,290.40, 86,000.40 and 30,981.60

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Solution

The fourth proportional to 57,290.40, 86,000.40 and 30,981.60 is: 46,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,290.40 : 86,000.40 = 30,981.60 : x
  2. Step 2: Convert to fraction form
    57,290.40/86,000.40 = 30,981.60/x
  3. Step 3: Cross multiply
    57,290.40x = 86,000.40 × 30,981.60
  4. Step 4: Simplify right side
    57,290.40x = 2,664,429,992.64
  5. Step 5: Solve for x
    x = 2,664,429,992.64/57,290.40
  6. Step 6: Final answer
    x = 46,507.44

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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.