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Finding the Fourth Proportional to 189,082.55, 260,933.96 and 103,041.60

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Solution

The fourth proportional to 189,082.55, 260,933.96 and 103,041.60 is: 142,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,082.55 : 260,933.96 = 103,041.60 : x
  2. Step 2: Convert to fraction form
    189,082.55/260,933.96 = 103,041.60/x
  3. Step 3: Cross multiply
    189,082.55x = 260,933.96 × 103,041.60
  4. Step 4: Simplify right side
    189,082.55x = 26,887,052,732.74
  5. Step 5: Solve for x
    x = 26,887,052,732.74/189,082.55
  6. Step 6: Final answer
    x = 142,197.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.