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Finding the Fourth Proportional to 102,907.20, 154,274.40 and 53,659.20

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Solution

The fourth proportional to 102,907.20, 154,274.40 and 53,659.20 is: 80,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,907.20 : 154,274.40 = 53,659.20 : x
  2. Step 2: Convert to fraction form
    102,907.20/154,274.40 = 53,659.20/x
  3. Step 3: Cross multiply
    102,907.20x = 154,274.40 × 53,659.20
  4. Step 4: Simplify right side
    102,907.20x = 8,278,240,884.48
  5. Step 5: Solve for x
    x = 8,278,240,884.48/102,907.20
  6. Step 6: Final answer
    x = 80,443.75

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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.