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Finding the Fourth Proportional to 101,783.81, 152,520.02 and 54,405.65

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Solution

The fourth proportional to 101,783.81, 152,520.02 and 54,405.65 is: 81,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,783.81 : 152,520.02 = 54,405.65 : x
  2. Step 2: Convert to fraction form
    101,783.81/152,520.02 = 54,405.65/x
  3. Step 3: Cross multiply
    101,783.81x = 152,520.02 × 54,405.65
  4. Step 4: Simplify right side
    101,783.81x = 8,297,949,791.48
  5. Step 5: Solve for x
    x = 8,297,949,791.48/101,783.81
  6. Step 6: Final answer
    x = 81,525.25

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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.