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Finding the Fourth Proportional to 103,286.40, 154,929.60 and 102,703.20

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Solution

The fourth proportional to 103,286.40, 154,929.60 and 102,703.20 is: 154,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,286.40 : 154,929.60 = 102,703.20 : x
  2. Step 2: Convert to fraction form
    103,286.40/154,929.60 = 102,703.20/x
  3. Step 3: Cross multiply
    103,286.40x = 154,929.60 × 102,703.20
  4. Step 4: Simplify right side
    103,286.40x = 15,911,765,694.72
  5. Step 5: Solve for x
    x = 15,911,765,694.72/103,286.40
  6. Step 6: Final answer
    x = 154,054.80

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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.