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Finding the Fourth Proportional to 228,642, 315,494.37 and 126,642.15

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Solution

The fourth proportional to 228,642, 315,494.37 and 126,642.15 is: 174,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,642 : 315,494.37 = 126,642.15 : x
  2. Step 2: Convert to fraction form
    228,642/315,494.37 = 126,642.15/x
  3. Step 3: Cross multiply
    228,642x = 315,494.37 × 126,642.15
  4. Step 4: Simplify right side
    228,642x = 39,954,885,329.70
  5. Step 5: Solve for x
    x = 39,954,885,329.70/228,642
  6. Step 6: Final answer
    x = 174,748.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.