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Finding the Fourth Proportional to 51,290.76, 76,946.10 and 19,698.50

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Solution

The fourth proportional to 51,290.76, 76,946.10 and 19,698.50 is: 29,551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,290.76 : 76,946.10 = 19,698.50 : x
  2. Step 2: Convert to fraction form
    51,290.76/76,946.10 = 19,698.50/x
  3. Step 3: Cross multiply
    51,290.76x = 76,946.10 × 19,698.50
  4. Step 4: Simplify right side
    51,290.76x = 1,515,722,750.85
  5. Step 5: Solve for x
    x = 1,515,722,750.85/51,290.76
  6. Step 6: Final answer
    x = 29,551.58

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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.