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Finding the Fourth Proportional to 281,051.80, 421,431.90 and 103,467.40

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Solution

The fourth proportional to 281,051.80, 421,431.90 and 103,467.40 is: 155,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,051.80 : 421,431.90 = 103,467.40 : x
  2. Step 2: Convert to fraction form
    281,051.80/421,431.90 = 103,467.40/x
  3. Step 3: Cross multiply
    281,051.80x = 421,431.90 × 103,467.40
  4. Step 4: Simplify right side
    281,051.80x = 43,604,462,970.06
  5. Step 5: Solve for x
    x = 43,604,462,970.06/281,051.80
  6. Step 6: Final answer
    x = 155,147.42

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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.