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Finding the Fourth Proportional to 189,353.43, 284,019.01 and 71,014.86

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Solution

The fourth proportional to 189,353.43, 284,019.01 and 71,014.86 is: 106,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,353.43 : 284,019.01 = 71,014.86 : x
  2. Step 2: Convert to fraction form
    189,353.43/284,019.01 = 71,014.86/x
  3. Step 3: Cross multiply
    189,353.43x = 284,019.01 × 71,014.86
  4. Step 4: Simplify right side
    189,353.43x = 20,169,570,054.95
  5. Step 5: Solve for x
    x = 20,169,570,054.95/189,353.43
  6. Step 6: Final answer
    x = 106,518.11

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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.