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Finding the Fourth Proportional to 105,054.20, 157,289.70 and 102,138.20

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Solution

The fourth proportional to 105,054.20, 157,289.70 and 102,138.20 is: 152,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,054.20 : 157,289.70 = 102,138.20 : x
  2. Step 2: Convert to fraction form
    105,054.20/157,289.70 = 102,138.20/x
  3. Step 3: Cross multiply
    105,054.20x = 157,289.70 × 102,138.20
  4. Step 4: Simplify right side
    105,054.20x = 16,065,286,836.54
  5. Step 5: Solve for x
    x = 16,065,286,836.54/105,054.20
  6. Step 6: Final answer
    x = 152,923.79

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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.