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Finding the Fourth Proportional to 189,466.62, 261,471.51 and 104,580.78

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Solution

The fourth proportional to 189,466.62, 261,471.51 and 104,580.78 is: 144,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.62 : 261,471.51 = 104,580.78 : x
  2. Step 2: Convert to fraction form
    189,466.62/261,471.51 = 104,580.78/x
  3. Step 3: Cross multiply
    189,466.62x = 261,471.51 × 104,580.78
  4. Step 4: Simplify right side
    189,466.62x = 27,344,894,463.58
  5. Step 5: Solve for x
    x = 27,344,894,463.58/189,466.62
  6. Step 6: Final answer
    x = 144,325.66

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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.