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Finding the Fourth Proportional to 51,697.32, 77,541.64 and 20,524.20

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Solution

The fourth proportional to 51,697.32, 77,541.64 and 20,524.20 is: 30,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,697.32 : 77,541.64 = 20,524.20 : x
  2. Step 2: Convert to fraction form
    51,697.32/77,541.64 = 20,524.20/x
  3. Step 3: Cross multiply
    51,697.32x = 77,541.64 × 20,524.20
  4. Step 4: Simplify right side
    51,697.32x = 1,591,480,127.69
  5. Step 5: Solve for x
    x = 1,591,480,127.69/51,697.32
  6. Step 6: Final answer
    x = 30,784.58

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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.