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Finding the Fourth Proportional to 98,270.78, 135,613.80 and 53,558.78

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Solution

The fourth proportional to 98,270.78, 135,613.80 and 53,558.78 is: 73,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,270.78 : 135,613.80 = 53,558.78 : x
  2. Step 2: Convert to fraction form
    98,270.78/135,613.80 = 53,558.78/x
  3. Step 3: Cross multiply
    98,270.78x = 135,613.80 × 53,558.78
  4. Step 4: Simplify right side
    98,270.78x = 7,263,309,679.16
  5. Step 5: Solve for x
    x = 7,263,309,679.16/98,270.78
  6. Step 6: Final answer
    x = 73,911.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.