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Finding the Fourth Proportional to 342,405.10, 513,672.23 and 105,692.42

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Solution

The fourth proportional to 342,405.10, 513,672.23 and 105,692.42 is: 158,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,405.10 : 513,672.23 = 105,692.42 : x
  2. Step 2: Convert to fraction form
    342,405.10/513,672.23 = 105,692.42/x
  3. Step 3: Cross multiply
    342,405.10x = 513,672.23 × 105,692.42
  4. Step 4: Simplify right side
    342,405.10x = 54,291,262,623.91
  5. Step 5: Solve for x
    x = 54,291,262,623.91/342,405.10
  6. Step 6: Final answer
    x = 158,558.57

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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.