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Finding the Fourth Proportional to 149,046.48, 205,769.16 and 98,813.52

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Solution

The fourth proportional to 149,046.48, 205,769.16 and 98,813.52 is: 136,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046.48 : 205,769.16 = 98,813.52 : x
  2. Step 2: Convert to fraction form
    149,046.48/205,769.16 = 98,813.52/x
  3. Step 3: Cross multiply
    149,046.48x = 205,769.16 × 98,813.52
  4. Step 4: Simplify right side
    149,046.48x = 20,332,775,007.04
  5. Step 5: Solve for x
    x = 20,332,775,007.04/149,046.48
  6. Step 6: Final answer
    x = 136,419.02

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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.