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Finding the Fourth Proportional to 281,978.79, 422,994.96 and 102,109.65

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Solution

The fourth proportional to 281,978.79, 422,994.96 and 102,109.65 is: 153,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,978.79 : 422,994.96 = 102,109.65 : x
  2. Step 2: Convert to fraction form
    281,978.79/422,994.96 = 102,109.65/x
  3. Step 3: Cross multiply
    281,978.79x = 422,994.96 × 102,109.65
  4. Step 4: Simplify right side
    281,978.79x = 43,191,867,317.36
  5. Step 5: Solve for x
    x = 43,191,867,317.36/281,978.79
  6. Step 6: Final answer
    x = 153,174.17

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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.