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Finding the Fourth Proportional to 248,365, 342,743.70 and 135,188.56

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Solution

The fourth proportional to 248,365, 342,743.70 and 135,188.56 is: 186,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,365 : 342,743.70 = 135,188.56 : x
  2. Step 2: Convert to fraction form
    248,365/342,743.70 = 135,188.56/x
  3. Step 3: Cross multiply
    248,365x = 342,743.70 × 135,188.56
  4. Step 4: Simplify right side
    248,365x = 46,335,027,252.07
  5. Step 5: Solve for x
    x = 46,335,027,252.07/248,365
  6. Step 6: Final answer
    x = 186,560.21

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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.