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Finding the Fourth Proportional to 281,181.94, 388,031.07 and 153,857.53

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Solution

The fourth proportional to 281,181.94, 388,031.07 and 153,857.53 is: 212,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,181.94 : 388,031.07 = 153,857.53 : x
  2. Step 2: Convert to fraction form
    281,181.94/388,031.07 = 153,857.53/x
  3. Step 3: Cross multiply
    281,181.94x = 388,031.07 × 153,857.53
  4. Step 4: Simplify right side
    281,181.94x = 59,701,503,055.46
  5. Step 5: Solve for x
    x = 59,701,503,055.46/281,181.94
  6. Step 6: Final answer
    x = 212,323.39

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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.