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Finding the Fourth Proportional to 189,891.55, 262,082.56 and 109,365.70

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Solution

The fourth proportional to 189,891.55, 262,082.56 and 109,365.70 is: 150,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,891.55 : 262,082.56 = 109,365.70 : x
  2. Step 2: Convert to fraction form
    189,891.55/262,082.56 = 109,365.70/x
  3. Step 3: Cross multiply
    189,891.55x = 262,082.56 × 109,365.70
  4. Step 4: Simplify right side
    189,891.55x = 28,662,841,595.19
  5. Step 5: Solve for x
    x = 28,662,841,595.19/189,891.55
  6. Step 6: Final answer
    x = 150,943.22

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1.5x scale

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.