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Finding the Fourth Proportional to 51,994.56, 78,000 and 22,420.80

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Solution

The fourth proportional to 51,994.56, 78,000 and 22,420.80 is: 33,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,994.56 : 78,000 = 22,420.80 : x
  2. Step 2: Convert to fraction form
    51,994.56/78,000 = 22,420.80/x
  3. Step 3: Cross multiply
    51,994.56x = 78,000 × 22,420.80
  4. Step 4: Simplify right side
    51,994.56x = 1,748,822,400
  5. Step 5: Solve for x
    x = 1,748,822,400/51,994.56
  6. Step 6: Final answer
    x = 33,634.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.