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Finding the Fourth Proportional to 228,153.60, 314,841.60 and 126,180

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Solution

The fourth proportional to 228,153.60, 314,841.60 and 126,180 is: 174,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,153.60 : 314,841.60 = 126,180 : x
  2. Step 2: Convert to fraction form
    228,153.60/314,841.60 = 126,180/x
  3. Step 3: Cross multiply
    228,153.60x = 314,841.60 × 126,180
  4. Step 4: Simplify right side
    228,153.60x = 39,726,713,088
  5. Step 5: Solve for x
    x = 39,726,713,088/228,153.60
  6. Step 6: Final answer
    x = 174,122.67

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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.