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Finding the Fourth Proportional to 248,411.80, 342,802.86 and 145,063.75

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Solution

The fourth proportional to 248,411.80, 342,802.86 and 145,063.75 is: 200,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,411.80 : 342,802.86 = 145,063.75 : x
  2. Step 2: Convert to fraction form
    248,411.80/342,802.86 = 145,063.75/x
  3. Step 3: Cross multiply
    248,411.80x = 342,802.86 × 145,063.75
  4. Step 4: Simplify right side
    248,411.80x = 49,728,268,382.33
  5. Step 5: Solve for x
    x = 49,728,268,382.33/248,411.80
  6. Step 6: Final answer
    x = 200,184.81

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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.