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Finding the Fourth Proportional to 342,002.99, 513,059.61 and 105,345.44

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Solution

The fourth proportional to 342,002.99, 513,059.61 and 105,345.44 is: 158,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.99 : 513,059.61 = 105,345.44 : x
  2. Step 2: Convert to fraction form
    342,002.99/513,059.61 = 105,345.44/x
  3. Step 3: Cross multiply
    342,002.99x = 513,059.61 × 105,345.44
  4. Step 4: Simplify right side
    342,002.99x = 54,048,490,361.68
  5. Step 5: Solve for x
    x = 54,048,490,361.68/342,002.99
  6. Step 6: Final answer
    x = 158,035.14

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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.