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Finding the Fourth Proportional to 281,993.80, 389,165.70 and 154,681.24

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Solution

The fourth proportional to 281,993.80, 389,165.70 and 154,681.24 is: 213,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,993.80 : 389,165.70 = 154,681.24 : x
  2. Step 2: Convert to fraction form
    281,993.80/389,165.70 = 154,681.24/x
  3. Step 3: Cross multiply
    281,993.80x = 389,165.70 × 154,681.24
  4. Step 4: Simplify right side
    281,993.80x = 60,196,633,041.47
  5. Step 5: Solve for x
    x = 60,196,633,041.47/281,993.80
  6. Step 6: Final answer
    x = 213,467.93

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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.