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Finding the Fourth Proportional to 52,077.84, 78,116.87 and 18,821.39

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Solution

The fourth proportional to 52,077.84, 78,116.87 and 18,821.39 is: 28,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.84 : 78,116.87 = 18,821.39 : x
  2. Step 2: Convert to fraction form
    52,077.84/78,116.87 = 18,821.39/x
  3. Step 3: Cross multiply
    52,077.84x = 78,116.87 × 18,821.39
  4. Step 4: Simplify right side
    52,077.84x = 1,470,268,075.85
  5. Step 5: Solve for x
    x = 1,470,268,075.85/52,077.84
  6. Step 6: Final answer
    x = 28,232.12

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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.