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Finding the Fourth Proportional to 207,858.42, 286,968.56 and 136,362.69

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Solution

The fourth proportional to 207,858.42, 286,968.56 and 136,362.69 is: 188,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,858.42 : 286,968.56 = 136,362.69 : x
  2. Step 2: Convert to fraction form
    207,858.42/286,968.56 = 136,362.69/x
  3. Step 3: Cross multiply
    207,858.42x = 286,968.56 × 136,362.69
  4. Step 4: Simplify right side
    207,858.42x = 39,131,804,105.21
  5. Step 5: Solve for x
    x = 39,131,804,105.21/207,858.42
  6. Step 6: Final answer
    x = 188,261.82

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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.