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Finding the Fourth Proportional to 52,075.84, 78,113.87 and 18,819.39

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Solution

The fourth proportional to 52,075.84, 78,113.87 and 18,819.39 is: 28,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075.84 : 78,113.87 = 18,819.39 : x
  2. Step 2: Convert to fraction form
    52,075.84/78,113.87 = 18,819.39/x
  3. Step 3: Cross multiply
    52,075.84x = 78,113.87 × 18,819.39
  4. Step 4: Simplify right side
    52,075.84x = 1,470,055,383.94
  5. Step 5: Solve for x
    x = 1,470,055,383.94/52,075.84
  6. Step 6: Final answer
    x = 28,229.13

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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.