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Finding the Fourth Proportional to 189,480.87, 284,393.43 and 100,808.55

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Solution

The fourth proportional to 189,480.87, 284,393.43 and 100,808.55 is: 151,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,480.87 : 284,393.43 = 100,808.55 : x
  2. Step 2: Convert to fraction form
    189,480.87/284,393.43 = 100,808.55/x
  3. Step 3: Cross multiply
    189,480.87x = 284,393.43 × 100,808.55
  4. Step 4: Simplify right side
    189,480.87x = 28,669,289,307.83
  5. Step 5: Solve for x
    x = 28,669,289,307.83/189,480.87
  6. Step 6: Final answer
    x = 151,304.40

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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.