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Finding the Fourth Proportional to 248,186.52, 342,497.70 and 135,009

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Solution

The fourth proportional to 248,186.52, 342,497.70 and 135,009 is: 186,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,186.52 : 342,497.70 = 135,009 : x
  2. Step 2: Convert to fraction form
    248,186.52/342,497.70 = 135,009/x
  3. Step 3: Cross multiply
    248,186.52x = 342,497.70 × 135,009
  4. Step 4: Simplify right side
    248,186.52x = 46,240,271,979.30
  5. Step 5: Solve for x
    x = 46,240,271,979.30/248,186.52
  6. Step 6: Final answer
    x = 186,312.58

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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.