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Finding the Fourth Proportional to 189,884.77, 262,042.73 and 105,003.25

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Solution

The fourth proportional to 189,884.77, 262,042.73 and 105,003.25 is: 144,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,884.77 : 262,042.73 = 105,003.25 : x
  2. Step 2: Convert to fraction form
    189,884.77/262,042.73 = 105,003.25/x
  3. Step 3: Cross multiply
    189,884.77x = 262,042.73 × 105,003.25
  4. Step 4: Simplify right side
    189,884.77x = 27,515,337,502.51
  5. Step 5: Solve for x
    x = 27,515,337,502.51/189,884.77
  6. Step 6: Final answer
    x = 144,905.45

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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.