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Finding the Fourth Proportional to 51,133.61, 76,695.03 and 13,697.54

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Solution

The fourth proportional to 51,133.61, 76,695.03 and 13,697.54 is: 20,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,133.61 : 76,695.03 = 13,697.54 : x
  2. Step 2: Convert to fraction form
    51,133.61/76,695.03 = 13,697.54/x
  3. Step 3: Cross multiply
    51,133.61x = 76,695.03 × 13,697.54
  4. Step 4: Simplify right side
    51,133.61x = 1,050,532,857.75
  5. Step 5: Solve for x
    x = 1,050,532,857.75/51,133.61
  6. Step 6: Final answer
    x = 20,544.86

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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.