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Finding the Fourth Proportional to 189,423.62, 283,682.88 and 104,974.28

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Solution

The fourth proportional to 189,423.62, 283,682.88 and 104,974.28 is: 157,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,423.62 : 283,682.88 = 104,974.28 : x
  2. Step 2: Convert to fraction form
    189,423.62/283,682.88 = 104,974.28/x
  3. Step 3: Cross multiply
    189,423.62x = 283,682.88 × 104,974.28
  4. Step 4: Simplify right side
    189,423.62x = 29,779,406,076.33
  5. Step 5: Solve for x
    x = 29,779,406,076.33/189,423.62
  6. Step 6: Final answer
    x = 157,210.63

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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.