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Finding the Fourth Proportional to 52,308.50, 78,457.07 and 30,963.38

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Solution

The fourth proportional to 52,308.50, 78,457.07 and 30,963.38 is: 46,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,308.50 : 78,457.07 = 30,963.38 : x
  2. Step 2: Convert to fraction form
    52,308.50/78,457.07 = 30,963.38/x
  3. Step 3: Cross multiply
    52,308.50x = 78,457.07 × 30,963.38
  4. Step 4: Simplify right side
    52,308.50x = 2,429,296,072.10
  5. Step 5: Solve for x
    x = 2,429,296,072.10/52,308.50
  6. Step 6: Final answer
    x = 46,441.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.