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Finding the Fourth Proportional to 342,351.85, 513,527.78 and 105,694.15

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Solution

The fourth proportional to 342,351.85, 513,527.78 and 105,694.15 is: 158,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,351.85 : 513,527.78 = 105,694.15 : x
  2. Step 2: Convert to fraction form
    342,351.85/513,527.78 = 105,694.15/x
  3. Step 3: Cross multiply
    342,351.85x = 513,527.78 × 105,694.15
  4. Step 4: Simplify right side
    342,351.85x = 54,276,881,680.02
  5. Step 5: Solve for x
    x = 54,276,881,680.02/342,351.85
  6. Step 6: Final answer
    x = 158,541.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.