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Finding the Fourth Proportional to 51,619.20, 77,428.80 and 18,376.80

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Solution

The fourth proportional to 51,619.20, 77,428.80 and 18,376.80 is: 27,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,619.20 : 77,428.80 = 18,376.80 : x
  2. Step 2: Convert to fraction form
    51,619.20/77,428.80 = 18,376.80/x
  3. Step 3: Cross multiply
    51,619.20x = 77,428.80 × 18,376.80
  4. Step 4: Simplify right side
    51,619.20x = 1,422,893,571.84
  5. Step 5: Solve for x
    x = 1,422,893,571.84/51,619.20
  6. Step 6: Final answer
    x = 27,565.20

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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.