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Finding the Fourth Proportional to 51,752.42, 77,431.80 and 31,981.94

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Solution

The fourth proportional to 51,752.42, 77,431.80 and 31,981.94 is: 47,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.42 : 77,431.80 = 31,981.94 : x
  2. Step 2: Convert to fraction form
    51,752.42/77,431.80 = 31,981.94/x
  3. Step 3: Cross multiply
    51,752.42x = 77,431.80 × 31,981.94
  4. Step 4: Simplify right side
    51,752.42x = 2,476,419,181.69
  5. Step 5: Solve for x
    x = 2,476,419,181.69/51,752.42
  6. Step 6: Final answer
    x = 47,851.27

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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.