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Finding the Fourth Proportional to 189,466.66, 261,474.78 and 112,965.40

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Solution

The fourth proportional to 189,466.66, 261,474.78 and 112,965.40 is: 155,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.66 : 261,474.78 = 112,965.40 : x
  2. Step 2: Convert to fraction form
    189,466.66/261,474.78 = 112,965.40/x
  3. Step 3: Cross multiply
    189,466.66x = 261,474.78 × 112,965.40
  4. Step 4: Simplify right side
    189,466.66x = 29,537,603,112.61
  5. Step 5: Solve for x
    x = 29,537,603,112.61/189,466.66
  6. Step 6: Final answer
    x = 155,898.68

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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.