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Finding the Fourth Proportional to 248,497.80, 342,930.87 and 135,320.46

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Solution

The fourth proportional to 248,497.80, 342,930.87 and 135,320.46 is: 186,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,497.80 : 342,930.87 = 135,320.46 : x
  2. Step 2: Convert to fraction form
    248,497.80/342,930.87 = 135,320.46/x
  3. Step 3: Cross multiply
    248,497.80x = 342,930.87 × 135,320.46
  4. Step 4: Simplify right side
    248,497.80x = 46,405,563,076.60
  5. Step 5: Solve for x
    x = 46,405,563,076.60/248,497.80
  6. Step 6: Final answer
    x = 186,744.36

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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.