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Finding the Fourth Proportional to 342,548.42, 513,871.86 and 105,909.55

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Solution

The fourth proportional to 342,548.42, 513,871.86 and 105,909.55 is: 158,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,548.42 : 513,871.86 = 105,909.55 : x
  2. Step 2: Convert to fraction form
    342,548.42/513,871.86 = 105,909.55/x
  3. Step 3: Cross multiply
    342,548.42x = 513,871.86 × 105,909.55
  4. Step 4: Simplify right side
    342,548.42x = 54,423,934,351.36
  5. Step 5: Solve for x
    x = 54,423,934,351.36/342,548.42
  6. Step 6: Final answer
    x = 158,879.54

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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.