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Finding the Fourth Proportional to 189,975.84, 285,289.77 and 168,676.69

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Solution

The fourth proportional to 189,975.84, 285,289.77 and 168,676.69 is: 253,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,975.84 : 285,289.77 = 168,676.69 : x
  2. Step 2: Convert to fraction form
    189,975.84/285,289.77 = 168,676.69/x
  3. Step 3: Cross multiply
    189,975.84x = 285,289.77 × 168,676.69
  4. Step 4: Simplify right side
    189,975.84x = 48,121,734,094.46
  5. Step 5: Solve for x
    x = 48,121,734,094.46/189,975.84
  6. Step 6: Final answer
    x = 253,304.49

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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.