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Finding the Fourth Proportional to 202,004.74, 278,768.49 and 111,364.01

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Solution

The fourth proportional to 202,004.74, 278,768.49 and 111,364.01 is: 153,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,004.74 : 278,768.49 = 111,364.01 : x
  2. Step 2: Convert to fraction form
    202,004.74/278,768.49 = 111,364.01/x
  3. Step 3: Cross multiply
    202,004.74x = 278,768.49 × 111,364.01
  4. Step 4: Simplify right side
    202,004.74x = 31,044,777,710.04
  5. Step 5: Solve for x
    x = 31,044,777,710.04/202,004.74
  6. Step 6: Final answer
    x = 153,683.42

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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.