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Finding the Fourth Proportional to 51,405.80, 77,223.90 and 49,306.60

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Solution

The fourth proportional to 51,405.80, 77,223.90 and 49,306.60 is: 74,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405.80 : 77,223.90 = 49,306.60 : x
  2. Step 2: Convert to fraction form
    51,405.80/77,223.90 = 49,306.60/x
  3. Step 3: Cross multiply
    51,405.80x = 77,223.90 × 49,306.60
  4. Step 4: Simplify right side
    51,405.80x = 3,807,647,947.74
  5. Step 5: Solve for x
    x = 3,807,647,947.74/51,405.80
  6. Step 6: Final answer
    x = 74,070.40

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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.