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Finding the Fourth Proportional to 281,956.95, 389,101.05 and 154,633.32

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Solution

The fourth proportional to 281,956.95, 389,101.05 and 154,633.32 is: 213,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,956.95 : 389,101.05 = 154,633.32 : x
  2. Step 2: Convert to fraction form
    281,956.95/389,101.05 = 154,633.32/x
  3. Step 3: Cross multiply
    281,956.95x = 389,101.05 × 154,633.32
  4. Step 4: Simplify right side
    281,956.95x = 60,167,987,176.99
  5. Step 5: Solve for x
    x = 60,167,987,176.99/281,956.95
  6. Step 6: Final answer
    x = 213,394.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.