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Finding the Fourth Proportional to 281,145.86, 421,652.54 and 103,556.42

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Solution

The fourth proportional to 281,145.86, 421,652.54 and 103,556.42 is: 155,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,145.86 : 421,652.54 = 103,556.42 : x
  2. Step 2: Convert to fraction form
    281,145.86/421,652.54 = 103,556.42/x
  3. Step 3: Cross multiply
    281,145.86x = 421,652.54 × 103,556.42
  4. Step 4: Simplify right side
    281,145.86x = 43,664,827,526.31
  5. Step 5: Solve for x
    x = 43,664,827,526.31/281,145.86
  6. Step 6: Final answer
    x = 155,310.23

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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.