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Finding the Fourth Proportional to 281,291.87, 388,106.01 and 160,389.06

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Solution

The fourth proportional to 281,291.87, 388,106.01 and 160,389.06 is: 221,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,291.87 : 388,106.01 = 160,389.06 : x
  2. Step 2: Convert to fraction form
    281,291.87/388,106.01 = 160,389.06/x
  3. Step 3: Cross multiply
    281,291.87x = 388,106.01 × 160,389.06
  4. Step 4: Simplify right side
    281,291.87x = 62,247,958,124.25
  5. Step 5: Solve for x
    x = 62,247,958,124.25/281,291.87
  6. Step 6: Final answer
    x = 221,293.13

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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.