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Finding the Fourth Proportional to 52,505.96, 78,735.90 and 19,217.40

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Solution

The fourth proportional to 52,505.96, 78,735.90 and 19,217.40 is: 28,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,505.96 : 78,735.90 = 19,217.40 : x
  2. Step 2: Convert to fraction form
    52,505.96/78,735.90 = 19,217.40/x
  3. Step 3: Cross multiply
    52,505.96x = 78,735.90 × 19,217.40
  4. Step 4: Simplify right side
    52,505.96x = 1,513,099,284.66
  5. Step 5: Solve for x
    x = 1,513,099,284.66/52,505.96
  6. Step 6: Final answer
    x = 28,817.67

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Why These Related Problems?

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