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Finding the Fourth Proportional to 189,885.08, 284,870.82 and 101,091.80

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Solution

The fourth proportional to 189,885.08, 284,870.82 and 101,091.80 is: 151,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,885.08 : 284,870.82 = 101,091.80 : x
  2. Step 2: Convert to fraction form
    189,885.08/284,870.82 = 101,091.80/x
  3. Step 3: Cross multiply
    189,885.08x = 284,870.82 × 101,091.80
  4. Step 4: Simplify right side
    189,885.08x = 28,798,103,961.28
  5. Step 5: Solve for x
    x = 28,798,103,961.28/189,885.08
  6. Step 6: Final answer
    x = 151,660.70

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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.