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Finding the Fourth Proportional to 51,280.40, 76,928.52 and 21,698.40

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Solution

The fourth proportional to 51,280.40, 76,928.52 and 21,698.40 is: 32,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,280.40 : 76,928.52 = 21,698.40 : x
  2. Step 2: Convert to fraction form
    51,280.40/76,928.52 = 21,698.40/x
  3. Step 3: Cross multiply
    51,280.40x = 76,928.52 × 21,698.40
  4. Step 4: Simplify right side
    51,280.40x = 1,669,225,798.37
  5. Step 5: Solve for x
    x = 1,669,225,798.37/51,280.40
  6. Step 6: Final answer
    x = 32,550.95

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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.