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Finding the Fourth Proportional to 189,112.70, 260,977.11 and 104,229.98

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Solution

The fourth proportional to 189,112.70, 260,977.11 and 104,229.98 is: 143,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,112.70 : 260,977.11 = 104,229.98 : x
  2. Step 2: Convert to fraction form
    189,112.70/260,977.11 = 104,229.98/x
  3. Step 3: Cross multiply
    189,112.70x = 260,977.11 × 104,229.98
  4. Step 4: Simplify right side
    189,112.70x = 27,201,638,955.76
  5. Step 5: Solve for x
    x = 27,201,638,955.76/189,112.70
  6. Step 6: Final answer
    x = 143,838.25

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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.