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Finding the Fourth Proportional to 189,761.12, 284,051.16 and 119,492.80

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Solution

The fourth proportional to 189,761.12, 284,051.16 and 119,492.80 is: 178,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,761.12 : 284,051.16 = 119,492.80 : x
  2. Step 2: Convert to fraction form
    189,761.12/284,051.16 = 119,492.80/x
  3. Step 3: Cross multiply
    189,761.12x = 284,051.16 × 119,492.80
  4. Step 4: Simplify right side
    189,761.12x = 33,942,068,451.65
  5. Step 5: Solve for x
    x = 33,942,068,451.65/189,761.12
  6. Step 6: Final answer
    x = 178,867.35

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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.