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Finding the Fourth Proportional to 189,903.97, 284,995.91 and 90,064.45

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Solution

The fourth proportional to 189,903.97, 284,995.91 and 90,064.45 is: 135,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,903.97 : 284,995.91 = 90,064.45 : x
  2. Step 2: Convert to fraction form
    189,903.97/284,995.91 = 90,064.45/x
  3. Step 3: Cross multiply
    189,903.97x = 284,995.91 × 90,064.45
  4. Step 4: Simplify right side
    189,903.97x = 25,667,999,886.40
  5. Step 5: Solve for x
    x = 25,667,999,886.40/189,903.97
  6. Step 6: Final answer
    x = 135,163.05

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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.