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Finding the Fourth Proportional to 342,525.76, 513,853.20 and 105,813.05

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Solution

The fourth proportional to 342,525.76, 513,853.20 and 105,813.05 is: 158,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,525.76 : 513,853.20 = 105,813.05 : x
  2. Step 2: Convert to fraction form
    342,525.76/513,853.20 = 105,813.05/x
  3. Step 3: Cross multiply
    342,525.76x = 513,853.20 × 105,813.05
  4. Step 4: Simplify right side
    342,525.76x = 54,372,371,774.99
  5. Step 5: Solve for x
    x = 54,372,371,774.99/342,525.76
  6. Step 6: Final answer
    x = 158,739.51

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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.