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Finding the Fourth Proportional to 201,768.65, 278,420.13 and 124,231.98

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Solution

The fourth proportional to 201,768.65, 278,420.13 and 124,231.98 is: 171,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,768.65 : 278,420.13 = 124,231.98 : x
  2. Step 2: Convert to fraction form
    201,768.65/278,420.13 = 124,231.98/x
  3. Step 3: Cross multiply
    201,768.65x = 278,420.13 × 124,231.98
  4. Step 4: Simplify right side
    201,768.65x = 34,588,684,021.76
  5. Step 5: Solve for x
    x = 34,588,684,021.76/201,768.65
  6. Step 6: Final answer
    x = 171,427.44

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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.