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Finding the Fourth Proportional to 102,844, 154,278.24 and 36,270.32

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Solution

The fourth proportional to 102,844, 154,278.24 and 36,270.32 is: 54,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,844 : 154,278.24 = 36,270.32 : x
  2. Step 2: Convert to fraction form
    102,844/154,278.24 = 36,270.32/x
  3. Step 3: Cross multiply
    102,844x = 154,278.24 × 36,270.32
  4. Step 4: Simplify right side
    102,844x = 5,595,721,133.84
  5. Step 5: Solve for x
    x = 5,595,721,133.84/102,844
  6. Step 6: Final answer
    x = 54,409.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.