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Finding the Fourth Proportional to 281,104.48, 421,656.72 and 81,424.93

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Solution

The fourth proportional to 281,104.48, 421,656.72 and 81,424.93 is: 122,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,104.48 : 421,656.72 = 81,424.93 : x
  2. Step 2: Convert to fraction form
    281,104.48/421,656.72 = 81,424.93/x
  3. Step 3: Cross multiply
    281,104.48x = 421,656.72 × 81,424.93
  4. Step 4: Simplify right side
    281,104.48x = 34,333,368,910.03
  5. Step 5: Solve for x
    x = 34,333,368,910.03/281,104.48
  6. Step 6: Final answer
    x = 122,137.40

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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.