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Finding the Fourth Proportional to 228,122.64, 314,811.29 and 126,154.97

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Solution

The fourth proportional to 228,122.64, 314,811.29 and 126,154.97 is: 174,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,122.64 : 314,811.29 = 126,154.97 : x
  2. Step 2: Convert to fraction form
    228,122.64/314,811.29 = 126,154.97/x
  3. Step 3: Cross multiply
    228,122.64x = 314,811.29 × 126,154.97
  4. Step 4: Simplify right side
    228,122.64x = 39,715,006,640.78
  5. Step 5: Solve for x
    x = 39,715,006,640.78/228,122.64
  6. Step 6: Final answer
    x = 174,094.98

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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.