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Finding the Fourth Proportional to 98,405, 135,798.18 and 55,963.48

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Solution

The fourth proportional to 98,405, 135,798.18 and 55,963.48 is: 77,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,405 : 135,798.18 = 55,963.48 : x
  2. Step 2: Convert to fraction form
    98,405/135,798.18 = 55,963.48/x
  3. Step 3: Cross multiply
    98,405x = 135,798.18 × 55,963.48
  4. Step 4: Simplify right side
    98,405x = 7,599,738,730.47
  5. Step 5: Solve for x
    x = 7,599,738,730.47/98,405
  6. Step 6: Final answer
    x = 77,229.19

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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.