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Finding the Fourth Proportional to 51,489.81, 71,019.29 and 47,254.55

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Solution

The fourth proportional to 51,489.81, 71,019.29 and 47,254.55 is: 65,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.81 : 71,019.29 = 47,254.55 : x
  2. Step 2: Convert to fraction form
    51,489.81/71,019.29 = 47,254.55/x
  3. Step 3: Cross multiply
    51,489.81x = 71,019.29 × 47,254.55
  4. Step 4: Simplify right side
    51,489.81x = 3,355,984,353.31
  5. Step 5: Solve for x
    x = 3,355,984,353.31/51,489.81
  6. Step 6: Final answer
    x = 65,177.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.