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Finding the Fourth Proportional to 201,775.84, 278,463.29 and 111,131.78

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Solution

The fourth proportional to 201,775.84, 278,463.29 and 111,131.78 is: 153,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,775.84 : 278,463.29 = 111,131.78 : x
  2. Step 2: Convert to fraction form
    201,775.84/278,463.29 = 111,131.78/x
  3. Step 3: Cross multiply
    201,775.84x = 278,463.29 × 111,131.78
  4. Step 4: Simplify right side
    201,775.84x = 30,946,121,082.36
  5. Step 5: Solve for x
    x = 30,946,121,082.36/201,775.84
  6. Step 6: Final answer
    x = 153,368.81

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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.