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Finding the Fourth Proportional to 281,809.74, 388,930.05 and 160,968.42

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Solution

The fourth proportional to 281,809.74, 388,930.05 and 160,968.42 is: 222,155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,809.74 : 388,930.05 = 160,968.42 : x
  2. Step 2: Convert to fraction form
    281,809.74/388,930.05 = 160,968.42/x
  3. Step 3: Cross multiply
    281,809.74x = 388,930.05 × 160,968.42
  4. Step 4: Simplify right side
    281,809.74x = 62,605,455,639.02
  5. Step 5: Solve for x
    x = 62,605,455,639.02/281,809.74
  6. Step 6: Final answer
    x = 222,155.05

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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.