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Finding the Fourth Proportional to 228,309.92, 314,996.28 and 137,693.60

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Solution

The fourth proportional to 228,309.92, 314,996.28 and 137,693.60 is: 189,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,309.92 : 314,996.28 = 137,693.60 : x
  2. Step 2: Convert to fraction form
    228,309.92/314,996.28 = 137,693.60/x
  3. Step 3: Cross multiply
    228,309.92x = 314,996.28 × 137,693.60
  4. Step 4: Simplify right side
    228,309.92x = 43,372,971,779.81
  5. Step 5: Solve for x
    x = 43,372,971,779.81/228,309.92
  6. Step 6: Final answer
    x = 189,974.10

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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.