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Finding the Fourth Proportional to 281,653.23, 422,480.67 and 81,978.51

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Solution

The fourth proportional to 281,653.23, 422,480.67 and 81,978.51 is: 122,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,653.23 : 422,480.67 = 81,978.51 : x
  2. Step 2: Convert to fraction form
    281,653.23/422,480.67 = 81,978.51/x
  3. Step 3: Cross multiply
    281,653.23x = 422,480.67 × 81,978.51
  4. Step 4: Simplify right side
    281,653.23x = 34,634,335,830.40
  5. Step 5: Solve for x
    x = 34,634,335,830.40/281,653.23
  6. Step 6: Final answer
    x = 122,968.01

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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.