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Finding the Fourth Proportional to 98,513, 135,947.94 and 53,801

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Solution

The fourth proportional to 98,513, 135,947.94 and 53,801 is: 74,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,513 : 135,947.94 = 53,801 : x
  2. Step 2: Convert to fraction form
    98,513/135,947.94 = 53,801/x
  3. Step 3: Cross multiply
    98,513x = 135,947.94 × 53,801
  4. Step 4: Simplify right side
    98,513x = 7,314,135,119.94
  5. Step 5: Solve for x
    x = 7,314,135,119.94/98,513
  6. Step 6: Final answer
    x = 74,245.38

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1.5x scale

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.