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Finding the Fourth Proportional to 202,090, 278,878.08 and 111,445.84

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Solution

The fourth proportional to 202,090, 278,878.08 and 111,445.84 is: 153,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,090 : 278,878.08 = 111,445.84 : x
  2. Step 2: Convert to fraction form
    202,090/278,878.08 = 111,445.84/x
  3. Step 3: Cross multiply
    202,090x = 278,878.08 × 111,445.84
  4. Step 4: Simplify right side
    202,090x = 31,079,801,883.19
  5. Step 5: Solve for x
    x = 31,079,801,883.19/202,090
  6. Step 6: Final answer
    x = 153,791.88

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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.