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Finding the Fourth Proportional to 189,718.10, 284,724.02 and 71,496.98

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Solution

The fourth proportional to 189,718.10, 284,724.02 and 71,496.98 is: 107,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,718.10 : 284,724.02 = 71,496.98 : x
  2. Step 2: Convert to fraction form
    189,718.10/284,724.02 = 71,496.98/x
  3. Step 3: Cross multiply
    189,718.10x = 284,724.02 × 71,496.98
  4. Step 4: Simplify right side
    189,718.10x = 20,356,906,318.58
  5. Step 5: Solve for x
    x = 20,356,906,318.58/189,718.10
  6. Step 6: Final answer
    x = 107,300.82

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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.