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Finding the Fourth Proportional to 151,166, 208,609.12 and 84,098

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Solution

The fourth proportional to 151,166, 208,609.12 and 84,098 is: 116,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,166 : 208,609.12 = 84,098 : x
  2. Step 2: Convert to fraction form
    151,166/208,609.12 = 84,098/x
  3. Step 3: Cross multiply
    151,166x = 208,609.12 × 84,098
  4. Step 4: Simplify right side
    151,166x = 17,543,609,773.76
  5. Step 5: Solve for x
    x = 17,543,609,773.76/151,166
  6. Step 6: Final answer
    x = 116,055.26

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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.