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Finding the Fourth Proportional to 151,258, 208,728.11 and 83,261.69

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Solution

The fourth proportional to 151,258, 208,728.11 and 83,261.69 is: 114,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,258 : 208,728.11 = 83,261.69 : x
  2. Step 2: Convert to fraction form
    151,258/208,728.11 = 83,261.69/x
  3. Step 3: Cross multiply
    151,258x = 208,728.11 × 83,261.69
  4. Step 4: Simplify right side
    151,258x = 17,379,055,189.11
  5. Step 5: Solve for x
    x = 17,379,055,189.11/151,258
  6. Step 6: Final answer
    x = 114,896.77

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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.