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Finding the Fourth Proportional to 189,464.88, 284,202 and 89,671.68

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Solution

The fourth proportional to 189,464.88, 284,202 and 89,671.68 is: 134,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,464.88 : 284,202 = 89,671.68 : x
  2. Step 2: Convert to fraction form
    189,464.88/284,202 = 89,671.68/x
  3. Step 3: Cross multiply
    189,464.88x = 284,202 × 89,671.68
  4. Step 4: Simplify right side
    189,464.88x = 25,484,870,799.36
  5. Step 5: Solve for x
    x = 25,484,870,799.36/189,464.88
  6. Step 6: Final answer
    x = 134,509.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.