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Finding the Fourth Proportional to 202,102, 278,897.01 and 111,466.39

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Solution

The fourth proportional to 202,102, 278,897.01 and 111,466.39 is: 153,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102 : 278,897.01 = 111,466.39 : x
  2. Step 2: Convert to fraction form
    202,102/278,897.01 = 111,466.39/x
  3. Step 3: Cross multiply
    202,102x = 278,897.01 × 111,466.39
  4. Step 4: Simplify right side
    202,102x = 31,087,642,886.49
  5. Step 5: Solve for x
    x = 31,087,642,886.49/202,102
  6. Step 6: Final answer
    x = 153,821.55

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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.