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Finding the Fourth Proportional to 151,174, 208,620.16 and 84,106

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Solution

The fourth proportional to 151,174, 208,620.16 and 84,106 is: 116,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,174 : 208,620.16 = 84,106 : x
  2. Step 2: Convert to fraction form
    151,174/208,620.16 = 84,106/x
  3. Step 3: Cross multiply
    151,174x = 208,620.16 × 84,106
  4. Step 4: Simplify right side
    151,174x = 17,546,207,176.96
  5. Step 5: Solve for x
    x = 17,546,207,176.96/151,174
  6. Step 6: Final answer
    x = 116,066.30

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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.