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Finding the Fourth Proportional to 342,043.21, 513,147.86 and 105,385.88

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Solution

The fourth proportional to 342,043.21, 513,147.86 and 105,385.88 is: 158,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,043.21 : 513,147.86 = 105,385.88 : x
  2. Step 2: Convert to fraction form
    342,043.21/513,147.86 = 105,385.88/x
  3. Step 3: Cross multiply
    342,043.21x = 513,147.86 × 105,385.88
  4. Step 4: Simplify right side
    342,043.21x = 54,078,538,269.29
  5. Step 5: Solve for x
    x = 54,078,538,269.29/342,043.21
  6. Step 6: Final answer
    x = 158,104.41

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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.