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Finding the Fourth Proportional to 103,441.70, 155,162.55 and 102,785.60

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Solution

The fourth proportional to 103,441.70, 155,162.55 and 102,785.60 is: 154,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,441.70 : 155,162.55 = 102,785.60 : x
  2. Step 2: Convert to fraction form
    103,441.70/155,162.55 = 102,785.60/x
  3. Step 3: Cross multiply
    103,441.70x = 155,162.55 × 102,785.60
  4. Step 4: Simplify right side
    103,441.70x = 15,948,475,799.28
  5. Step 5: Solve for x
    x = 15,948,475,799.28/103,441.70
  6. Step 6: Final answer
    x = 154,178.40

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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.