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Finding the Fourth Proportional to 189,327.84, 284,076 and 100,559.76

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Solution

The fourth proportional to 189,327.84, 284,076 and 100,559.76 is: 150,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,327.84 : 284,076 = 100,559.76 : x
  2. Step 2: Convert to fraction form
    189,327.84/284,076 = 100,559.76/x
  3. Step 3: Cross multiply
    189,327.84x = 284,076 × 100,559.76
  4. Step 4: Simplify right side
    189,327.84x = 28,566,614,381.76
  5. Step 5: Solve for x
    x = 28,566,614,381.76/189,327.84
  6. Step 6: Final answer
    x = 150,884.38

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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.