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Finding the Fourth Proportional to 228,294.92, 315,173.68 and 137,673.84

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Solution

The fourth proportional to 228,294.92, 315,173.68 and 137,673.84 is: 190,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,294.92 : 315,173.68 = 137,673.84 : x
  2. Step 2: Convert to fraction form
    228,294.92/315,173.68 = 137,673.84/x
  3. Step 3: Cross multiply
    228,294.92x = 315,173.68 × 137,673.84
  4. Step 4: Simplify right side
    228,294.92x = 43,391,170,792.53
  5. Step 5: Solve for x
    x = 43,391,170,792.53/228,294.92
  6. Step 6: Final answer
    x = 190,066.30

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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.