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Finding the Fourth Proportional to 57,865.20, 86,776.20 and 40,282.80

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Solution

The fourth proportional to 57,865.20, 86,776.20 and 40,282.80 is: 60,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,865.20 : 86,776.20 = 40,282.80 : x
  2. Step 2: Convert to fraction form
    57,865.20/86,776.20 = 40,282.80/x
  3. Step 3: Cross multiply
    57,865.20x = 86,776.20 × 40,282.80
  4. Step 4: Simplify right side
    57,865.20x = 3,495,588,309.36
  5. Step 5: Solve for x
    x = 3,495,588,309.36/57,865.20
  6. Step 6: Final answer
    x = 60,409.16

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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.