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Finding the Fourth Proportional to 189,006, 260,828.28 and 104,123.04

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Solution

The fourth proportional to 189,006, 260,828.28 and 104,123.04 is: 143,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,006 : 260,828.28 = 104,123.04 : x
  2. Step 2: Convert to fraction form
    189,006/260,828.28 = 104,123.04/x
  3. Step 3: Cross multiply
    189,006x = 260,828.28 × 104,123.04
  4. Step 4: Simplify right side
    189,006x = 27,158,233,431.57
  5. Step 5: Solve for x
    x = 27,158,233,431.57/189,006
  6. Step 6: Final answer
    x = 143,689.80

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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.