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Finding the Fourth Proportional to 102,940.80, 154,418.40 and 40,603.20

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Solution

The fourth proportional to 102,940.80, 154,418.40 and 40,603.20 is: 60,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,940.80 : 154,418.40 = 40,603.20 : x
  2. Step 2: Convert to fraction form
    102,940.80/154,418.40 = 40,603.20/x
  3. Step 3: Cross multiply
    102,940.80x = 154,418.40 × 40,603.20
  4. Step 4: Simplify right side
    102,940.80x = 6,269,881,178.88
  5. Step 5: Solve for x
    x = 6,269,881,178.88/102,940.80
  6. Step 6: Final answer
    x = 60,907.64

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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.