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Finding the Fourth Proportional to 342,485.16, 513,847.68 and 105,827.82

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Solution

The fourth proportional to 342,485.16, 513,847.68 and 105,827.82 is: 158,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,485.16 : 513,847.68 = 105,827.82 : x
  2. Step 2: Convert to fraction form
    342,485.16/513,847.68 = 105,827.82/x
  3. Step 3: Cross multiply
    342,485.16x = 513,847.68 × 105,827.82
  4. Step 4: Simplify right side
    342,485.16x = 54,379,379,786.46
  5. Step 5: Solve for x
    x = 54,379,379,786.46/342,485.16
  6. Step 6: Final answer
    x = 158,778.79

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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.