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Finding the Fourth Proportional to 189,145.80, 283,741.38 and 76,802.04

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Solution

The fourth proportional to 189,145.80, 283,741.38 and 76,802.04 is: 115,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,145.80 : 283,741.38 = 76,802.04 : x
  2. Step 2: Convert to fraction form
    189,145.80/283,741.38 = 76,802.04/x
  3. Step 3: Cross multiply
    189,145.80x = 283,741.38 × 76,802.04
  4. Step 4: Simplify right side
    189,145.80x = 21,791,916,816.42
  5. Step 5: Solve for x
    x = 21,791,916,816.42/189,145.80
  6. Step 6: Final answer
    x = 115,212.27

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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.