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Finding the Fourth Proportional to 189,099.92, 260,957.90 and 104,217

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Solution

The fourth proportional to 189,099.92, 260,957.90 and 104,217 is: 143,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,099.92 : 260,957.90 = 104,217 : x
  2. Step 2: Convert to fraction form
    189,099.92/260,957.90 = 104,217/x
  3. Step 3: Cross multiply
    189,099.92x = 260,957.90 × 104,217
  4. Step 4: Simplify right side
    189,099.92x = 27,196,249,464.30
  5. Step 5: Solve for x
    x = 27,196,249,464.30/189,099.92
  6. Step 6: Final answer
    x = 143,819.47

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1.5x scale

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.