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Finding the Fourth Proportional to 75,176.38, 103,683.54 and 48,321.64

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Solution

The fourth proportional to 75,176.38, 103,683.54 and 48,321.64 is: 66,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176.38 : 103,683.54 = 48,321.64 : x
  2. Step 2: Convert to fraction form
    75,176.38/103,683.54 = 48,321.64/x
  3. Step 3: Cross multiply
    75,176.38x = 103,683.54 × 48,321.64
  4. Step 4: Simplify right side
    75,176.38x = 5,010,158,693.81
  5. Step 5: Solve for x
    x = 5,010,158,693.81/75,176.38
  6. Step 6: Final answer
    x = 66,645.38

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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.