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Finding the Fourth Proportional to 228,078.94, 314,721.46 and 126,090.62

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Solution

The fourth proportional to 228,078.94, 314,721.46 and 126,090.62 is: 173,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,078.94 : 314,721.46 = 126,090.62 : x
  2. Step 2: Convert to fraction form
    228,078.94/314,721.46 = 126,090.62/x
  3. Step 3: Cross multiply
    228,078.94x = 314,721.46 × 126,090.62
  4. Step 4: Simplify right side
    228,078.94x = 39,683,423,388.25
  5. Step 5: Solve for x
    x = 39,683,423,388.25/228,078.94
  6. Step 6: Final answer
    x = 173,989.87

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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.