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Finding the Fourth Proportional to 51,284.52, 76,931.64 and 31,520.52

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Solution

The fourth proportional to 51,284.52, 76,931.64 and 31,520.52 is: 47,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284.52 : 76,931.64 = 31,520.52 : x
  2. Step 2: Convert to fraction form
    51,284.52/76,931.64 = 31,520.52/x
  3. Step 3: Cross multiply
    51,284.52x = 76,931.64 × 31,520.52
  4. Step 4: Simplify right side
    51,284.52x = 2,424,925,297.25
  5. Step 5: Solve for x
    x = 2,424,925,297.25/51,284.52
  6. Step 6: Final answer
    x = 47,283.77

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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.