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Finding the Fourth Proportional to 228,177.80, 314,911.80 and 137,580.12

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Solution

The fourth proportional to 228,177.80, 314,911.80 and 137,580.12 is: 189,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,177.80 : 314,911.80 = 137,580.12 : x
  2. Step 2: Convert to fraction form
    228,177.80/314,911.80 = 137,580.12/x
  3. Step 3: Cross multiply
    228,177.80x = 314,911.80 × 137,580.12
  4. Step 4: Simplify right side
    228,177.80x = 43,325,603,233.42
  5. Step 5: Solve for x
    x = 43,325,603,233.42/228,177.80
  6. Step 6: Final answer
    x = 189,876.51

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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.