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Finding the Fourth Proportional to 98,388.48, 135,775.44 and 55,947

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Solution

The fourth proportional to 98,388.48, 135,775.44 and 55,947 is: 77,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,388.48 : 135,775.44 = 55,947 : x
  2. Step 2: Convert to fraction form
    98,388.48/135,775.44 = 55,947/x
  3. Step 3: Cross multiply
    98,388.48x = 135,775.44 × 55,947
  4. Step 4: Simplify right side
    98,388.48x = 7,596,228,541.68
  5. Step 5: Solve for x
    x = 7,596,228,541.68/98,388.48
  6. Step 6: Final answer
    x = 77,206.48

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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.