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Finding the Fourth Proportional to 98,006.40, 146,790.90 and 75,747.60

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Solution

The fourth proportional to 98,006.40, 146,790.90 and 75,747.60 is: 113,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,006.40 : 146,790.90 = 75,747.60 : x
  2. Step 2: Convert to fraction form
    98,006.40/146,790.90 = 75,747.60/x
  3. Step 3: Cross multiply
    98,006.40x = 146,790.90 × 75,747.60
  4. Step 4: Simplify right side
    98,006.40x = 11,119,058,376.84
  5. Step 5: Solve for x
    x = 11,119,058,376.84/98,006.40
  6. Step 6: Final answer
    x = 113,452.37

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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.