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Finding the Fourth Proportional to 189,653.91, 284,480.86 and 49,412.53

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Solution

The fourth proportional to 189,653.91, 284,480.86 and 49,412.53 is: 74,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,653.91 : 284,480.86 = 49,412.53 : x
  2. Step 2: Convert to fraction form
    189,653.91/284,480.86 = 49,412.53/x
  3. Step 3: Cross multiply
    189,653.91x = 284,480.86 × 49,412.53
  4. Step 4: Simplify right side
    189,653.91x = 14,056,919,353.89
  5. Step 5: Solve for x
    x = 14,056,919,353.89/189,653.91
  6. Step 6: Final answer
    x = 74,118.80

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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.