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Finding the Fourth Proportional to 189,670.83, 284,548.62 and 71,343.21

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Solution

The fourth proportional to 189,670.83, 284,548.62 and 71,343.21 is: 107,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,670.83 : 284,548.62 = 71,343.21 : x
  2. Step 2: Convert to fraction form
    189,670.83/284,548.62 = 71,343.21/x
  3. Step 3: Cross multiply
    189,670.83x = 284,548.62 × 71,343.21
  4. Step 4: Simplify right side
    189,670.83x = 20,300,611,951.87
  5. Step 5: Solve for x
    x = 20,300,611,951.87/189,670.83
  6. Step 6: Final answer
    x = 107,030.75

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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.