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Finding the Fourth Proportional to 248,400, 342,792 and 135,216

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Solution

The fourth proportional to 248,400, 342,792 and 135,216 is: 186,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,400 : 342,792 = 135,216 : x
  2. Step 2: Convert to fraction form
    248,400/342,792 = 135,216/x
  3. Step 3: Cross multiply
    248,400x = 342,792 × 135,216
  4. Step 4: Simplify right side
    248,400x = 46,350,963,072
  5. Step 5: Solve for x
    x = 46,350,963,072/248,400
  6. Step 6: Final answer
    x = 186,598.08

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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.