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Finding the Fourth Proportional to 189,322.40, 283,742.40 and 100,618.40

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Solution

The fourth proportional to 189,322.40, 283,742.40 and 100,618.40 is: 150,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,322.40 : 283,742.40 = 100,618.40 : x
  2. Step 2: Convert to fraction form
    189,322.40/283,742.40 = 100,618.40/x
  3. Step 3: Cross multiply
    189,322.40x = 283,742.40 × 100,618.40
  4. Step 4: Simplify right side
    189,322.40x = 28,549,706,300.16
  5. Step 5: Solve for x
    x = 28,549,706,300.16/189,322.40
  6. Step 6: Final answer
    x = 150,799.41

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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.