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Finding the Fourth Proportional to 100,528.91, 150,563.63 and 47,975.30

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Solution

The fourth proportional to 100,528.91, 150,563.63 and 47,975.30 is: 71,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,528.91 : 150,563.63 = 47,975.30 : x
  2. Step 2: Convert to fraction form
    100,528.91/150,563.63 = 47,975.30/x
  3. Step 3: Cross multiply
    100,528.91x = 150,563.63 × 47,975.30
  4. Step 4: Simplify right side
    100,528.91x = 7,223,335,318.34
  5. Step 5: Solve for x
    x = 7,223,335,318.34/100,528.91
  6. Step 6: Final answer
    x = 71,853.31

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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.