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Finding the Fourth Proportional to 100,394.72, 150,494.16 and 47,790.08

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Solution

The fourth proportional to 100,394.72, 150,494.16 and 47,790.08 is: 71,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,394.72 : 150,494.16 = 47,790.08 : x
  2. Step 2: Convert to fraction form
    100,394.72/150,494.16 = 47,790.08/x
  3. Step 3: Cross multiply
    100,394.72x = 150,494.16 × 47,790.08
  4. Step 4: Simplify right side
    100,394.72x = 7,192,127,945.93
  5. Step 5: Solve for x
    x = 7,192,127,945.93/100,394.72
  6. Step 6: Final answer
    x = 71,638.51

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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.