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Finding the Fourth Proportional to 57,478.80, 86,232.56 and 45,677.20

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Solution

The fourth proportional to 57,478.80, 86,232.56 and 45,677.20 is: 68,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478.80 : 86,232.56 = 45,677.20 : x
  2. Step 2: Convert to fraction form
    57,478.80/86,232.56 = 45,677.20/x
  3. Step 3: Cross multiply
    57,478.80x = 86,232.56 × 45,677.20
  4. Step 4: Simplify right side
    57,478.80x = 3,938,861,889.63
  5. Step 5: Solve for x
    x = 3,938,861,889.63/57,478.80
  6. Step 6: Final answer
    x = 68,527.21

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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.