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Finding the Fourth Proportional to 210,452.49, 315,784.34 and 98,141.54

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Solution

The fourth proportional to 210,452.49, 315,784.34 and 98,141.54 is: 147,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,452.49 : 315,784.34 = 98,141.54 : x
  2. Step 2: Convert to fraction form
    210,452.49/315,784.34 = 98,141.54/x
  3. Step 3: Cross multiply
    210,452.49x = 315,784.34 × 98,141.54
  4. Step 4: Simplify right side
    210,452.49x = 30,991,559,365.85
  5. Step 5: Solve for x
    x = 30,991,559,365.85/210,452.49
  6. Step 6: Final answer
    x = 147,261.55

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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.