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Finding the Fourth Proportional to 71,155.48, 98,198.36 and 40,945.40

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Solution

The fourth proportional to 71,155.48, 98,198.36 and 40,945.40 is: 56,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,155.48 : 98,198.36 = 40,945.40 : x
  2. Step 2: Convert to fraction form
    71,155.48/98,198.36 = 40,945.40/x
  3. Step 3: Cross multiply
    71,155.48x = 98,198.36 × 40,945.40
  4. Step 4: Simplify right side
    71,155.48x = 4,020,771,129.54
  5. Step 5: Solve for x
    x = 4,020,771,129.54/71,155.48
  6. Step 6: Final answer
    x = 56,506.84

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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.