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Finding the Fourth Proportional to 189,157.16, 283,741.68 and 70,805.90

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Solution

The fourth proportional to 189,157.16, 283,741.68 and 70,805.90 is: 106,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,157.16 : 283,741.68 = 70,805.90 : x
  2. Step 2: Convert to fraction form
    189,157.16/283,741.68 = 70,805.90/x
  3. Step 3: Cross multiply
    189,157.16x = 283,741.68 × 70,805.90
  4. Step 4: Simplify right side
    189,157.16x = 20,090,585,019.91
  5. Step 5: Solve for x
    x = 20,090,585,019.91/189,157.16
  6. Step 6: Final answer
    x = 106,211.07

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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.