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Finding the Fourth Proportional to 189,827, 261,938.52 and 104,932.52

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Solution

The fourth proportional to 189,827, 261,938.52 and 104,932.52 is: 144,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,827 : 261,938.52 = 104,932.52 : x
  2. Step 2: Convert to fraction form
    189,827/261,938.52 = 104,932.52/x
  3. Step 3: Cross multiply
    189,827x = 261,938.52 × 104,932.52
  4. Step 4: Simplify right side
    189,827x = 27,485,868,988.67
  5. Step 5: Solve for x
    x = 27,485,868,988.67/189,827
  6. Step 6: Final answer
    x = 144,794.31

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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.