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Finding the Fourth Proportional to 51,885.36, 77,859.54 and 20,718

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Solution

The fourth proportional to 51,885.36, 77,859.54 and 20,718 is: 31,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,885.36 : 77,859.54 = 20,718 : x
  2. Step 2: Convert to fraction form
    51,885.36/77,859.54 = 20,718/x
  3. Step 3: Cross multiply
    51,885.36x = 77,859.54 × 20,718
  4. Step 4: Simplify right side
    51,885.36x = 1,613,093,949.72
  5. Step 5: Solve for x
    x = 1,613,093,949.72/51,885.36
  6. Step 6: Final answer
    x = 31,089.58

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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.