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Finding the Fourth Proportional to 202,007, 278,770.47 and 111,360.95

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Solution

The fourth proportional to 202,007, 278,770.47 and 111,360.95 is: 153,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,007 : 278,770.47 = 111,360.95 : x
  2. Step 2: Convert to fraction form
    202,007/278,770.47 = 111,360.95/x
  3. Step 3: Cross multiply
    202,007x = 278,770.47 × 111,360.95
  4. Step 4: Simplify right side
    202,007x = 31,044,144,371.15
  5. Step 5: Solve for x
    x = 31,044,144,371.15/202,007
  6. Step 6: Final answer
    x = 153,678.56

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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.