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Finding the Fourth Proportional to 189,816.10, 284,724.15 and 120,004.90

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Solution

The fourth proportional to 189,816.10, 284,724.15 and 120,004.90 is: 180,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,816.10 : 284,724.15 = 120,004.90 : x
  2. Step 2: Convert to fraction form
    189,816.10/284,724.15 = 120,004.90/x
  3. Step 3: Cross multiply
    189,816.10x = 284,724.15 × 120,004.90
  4. Step 4: Simplify right side
    189,816.10x = 34,168,293,148.34
  5. Step 5: Solve for x
    x = 34,168,293,148.34/189,816.10
  6. Step 6: Final answer
    x = 180,007.35

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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.