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Finding the Fourth Proportional to 281,257.60, 421,820.16 and 81,525.28

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Solution

The fourth proportional to 281,257.60, 421,820.16 and 81,525.28 is: 122,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,257.60 : 421,820.16 = 81,525.28 : x
  2. Step 2: Convert to fraction form
    281,257.60/421,820.16 = 81,525.28/x
  3. Step 3: Cross multiply
    281,257.60x = 421,820.16 × 81,525.28
  4. Step 4: Simplify right side
    281,257.60x = 34,389,006,653.64
  5. Step 5: Solve for x
    x = 34,389,006,653.64/281,257.60
  6. Step 6: Final answer
    x = 122,268.72

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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.