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Finding the Fourth Proportional to 189,098.76, 260,955.72 and 104,215.80

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Solution

The fourth proportional to 189,098.76, 260,955.72 and 104,215.80 is: 143,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,098.76 : 260,955.72 = 104,215.80 : x
  2. Step 2: Convert to fraction form
    189,098.76/260,955.72 = 104,215.80/x
  3. Step 3: Cross multiply
    189,098.76x = 260,955.72 × 104,215.80
  4. Step 4: Simplify right side
    189,098.76x = 27,195,709,124.38
  5. Step 5: Solve for x
    x = 27,195,709,124.38/189,098.76
  6. Step 6: Final answer
    x = 143,817.49

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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.