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Finding the Fourth Proportional to 342,529.36, 513,843.23 and 105,890.48

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Solution

The fourth proportional to 342,529.36, 513,843.23 and 105,890.48 is: 158,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,529.36 : 513,843.23 = 105,890.48 : x
  2. Step 2: Convert to fraction form
    342,529.36/513,843.23 = 105,890.48/x
  3. Step 3: Cross multiply
    342,529.36x = 513,843.23 × 105,890.48
  4. Step 4: Simplify right side
    342,529.36x = 54,411,106,269.45
  5. Step 5: Solve for x
    x = 54,411,106,269.45/342,529.36
  6. Step 6: Final answer
    x = 158,850.93

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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.