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Finding the Fourth Proportional to 189,092.34, 283,690.35 and 99,141.03

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Solution

The fourth proportional to 189,092.34, 283,690.35 and 99,141.03 is: 148,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.34 : 283,690.35 = 99,141.03 : x
  2. Step 2: Convert to fraction form
    189,092.34/283,690.35 = 99,141.03/x
  3. Step 3: Cross multiply
    189,092.34x = 283,690.35 × 99,141.03
  4. Step 4: Simplify right side
    189,092.34x = 28,125,353,500.06
  5. Step 5: Solve for x
    x = 28,125,353,500.06/189,092.34
  6. Step 6: Final answer
    x = 148,738.72

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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.