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Finding the Fourth Proportional to 103,315.40, 154,994.70 and 33,201.80

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Solution

The fourth proportional to 103,315.40, 154,994.70 and 33,201.80 is: 49,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,315.40 : 154,994.70 = 33,201.80 : x
  2. Step 2: Convert to fraction form
    103,315.40/154,994.70 = 33,201.80/x
  3. Step 3: Cross multiply
    103,315.40x = 154,994.70 × 33,201.80
  4. Step 4: Simplify right side
    103,315.40x = 5,146,103,030.46
  5. Step 5: Solve for x
    x = 5,146,103,030.46/103,315.40
  6. Step 6: Final answer
    x = 49,809.64

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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.