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Finding the Fourth Proportional to 189,498.80, 284,198.70 and 56,343.20

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Solution

The fourth proportional to 189,498.80, 284,198.70 and 56,343.20 is: 84,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,498.80 : 284,198.70 = 56,343.20 : x
  2. Step 2: Convert to fraction form
    189,498.80/284,198.70 = 56,343.20/x
  3. Step 3: Cross multiply
    189,498.80x = 284,198.70 × 56,343.20
  4. Step 4: Simplify right side
    189,498.80x = 16,012,664,193.84
  5. Step 5: Solve for x
    x = 16,012,664,193.84/189,498.80
  6. Step 6: Final answer
    x = 84,500.08

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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.