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Finding the Fourth Proportional to 248,527.76, 342,978.01 and 141,107.78

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Solution

The fourth proportional to 248,527.76, 342,978.01 and 141,107.78 is: 194,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,527.76 : 342,978.01 = 141,107.78 : x
  2. Step 2: Convert to fraction form
    248,527.76/342,978.01 = 141,107.78/x
  3. Step 3: Cross multiply
    248,527.76x = 342,978.01 × 141,107.78
  4. Step 4: Simplify right side
    248,527.76x = 48,396,865,579.92
  5. Step 5: Solve for x
    x = 48,396,865,579.92/248,527.76
  6. Step 6: Final answer
    x = 194,734.25

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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.