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Finding the Fourth Proportional to 189,646.49, 261,689.86 and 104,758.49

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Solution

The fourth proportional to 189,646.49, 261,689.86 and 104,758.49 is: 144,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,646.49 : 261,689.86 = 104,758.49 : x
  2. Step 2: Convert to fraction form
    189,646.49/261,689.86 = 104,758.49/x
  3. Step 3: Cross multiply
    189,646.49x = 261,689.86 × 104,758.49
  4. Step 4: Simplify right side
    189,646.49x = 27,414,234,581.91
  5. Step 5: Solve for x
    x = 27,414,234,581.91/189,646.49
  6. Step 6: Final answer
    x = 144,554.40

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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.