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Finding the Fourth Proportional to 189,984, 284,976 and 79,176

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Solution

The fourth proportional to 189,984, 284,976 and 79,176 is: 118,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,984 : 284,976 = 79,176 : x
  2. Step 2: Convert to fraction form
    189,984/284,976 = 79,176/x
  3. Step 3: Cross multiply
    189,984x = 284,976 × 79,176
  4. Step 4: Simplify right side
    189,984x = 22,563,259,776
  5. Step 5: Solve for x
    x = 22,563,259,776/189,984
  6. Step 6: Final answer
    x = 118,764

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.