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Finding the Fourth Proportional to 151,230.96, 208,677.51 and 100,164.51

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Solution

The fourth proportional to 151,230.96, 208,677.51 and 100,164.51 is: 138,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,230.96 : 208,677.51 = 100,164.51 : x
  2. Step 2: Convert to fraction form
    151,230.96/208,677.51 = 100,164.51/x
  3. Step 3: Cross multiply
    151,230.96x = 208,677.51 × 100,164.51
  4. Step 4: Simplify right side
    151,230.96x = 20,902,080,537.17
  5. Step 5: Solve for x
    x = 20,902,080,537.17/151,230.96
  6. Step 6: Final answer
    x = 138,212.97

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1.5x scale

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.