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Finding the Fourth Proportional to 281,008.78, 421,316.03 and 103,493.03

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Solution

The fourth proportional to 281,008.78, 421,316.03 and 103,493.03 is: 155,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,008.78 : 421,316.03 = 103,493.03 : x
  2. Step 2: Convert to fraction form
    281,008.78/421,316.03 = 103,493.03/x
  3. Step 3: Cross multiply
    281,008.78x = 421,316.03 × 103,493.03
  4. Step 4: Simplify right side
    281,008.78x = 43,603,270,684.42
  5. Step 5: Solve for x
    x = 43,603,270,684.42/281,008.78
  6. Step 6: Final answer
    x = 155,166.93

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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.