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Finding the Fourth Proportional to 342,326.88, 513,497.34 and 105,669.72

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Solution

The fourth proportional to 342,326.88, 513,497.34 and 105,669.72 is: 158,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,326.88 : 513,497.34 = 105,669.72 : x
  2. Step 2: Convert to fraction form
    342,326.88/513,497.34 = 105,669.72/x
  3. Step 3: Cross multiply
    342,326.88x = 513,497.34 × 105,669.72
  4. Step 4: Simplify right side
    342,326.88x = 54,261,120,138.54
  5. Step 5: Solve for x
    x = 54,261,120,138.54/342,326.88
  6. Step 6: Final answer
    x = 158,506.75

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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.