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Finding the Fourth Proportional to 228,656.86, 315,542.16 and 138,016.64

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Solution

The fourth proportional to 228,656.86, 315,542.16 and 138,016.64 is: 190,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,656.86 : 315,542.16 = 138,016.64 : x
  2. Step 2: Convert to fraction form
    228,656.86/315,542.16 = 138,016.64/x
  3. Step 3: Cross multiply
    228,656.86x = 315,542.16 × 138,016.64
  4. Step 4: Simplify right side
    228,656.86x = 43,550,068,701.54
  5. Step 5: Solve for x
    x = 43,550,068,701.54/228,656.86
  6. Step 6: Final answer
    x = 190,460.36

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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.