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Finding the Fourth Proportional to 189,097.64, 260,956.50 and 104,217.80

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Solution

The fourth proportional to 189,097.64, 260,956.50 and 104,217.80 is: 143,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,097.64 : 260,956.50 = 104,217.80 : x
  2. Step 2: Convert to fraction form
    189,097.64/260,956.50 = 104,217.80/x
  3. Step 3: Cross multiply
    189,097.64x = 260,956.50 × 104,217.80
  4. Step 4: Simplify right side
    189,097.64x = 27,196,312,325.70
  5. Step 5: Solve for x
    x = 27,196,312,325.70/189,097.64
  6. Step 6: Final answer
    x = 143,821.53

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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.