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Finding the Fourth Proportional to 52,502, 78,768.20 and 16,968.72

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Solution

The fourth proportional to 52,502, 78,768.20 and 16,968.72 is: 25,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502 : 78,768.20 = 16,968.72 : x
  2. Step 2: Convert to fraction form
    52,502/78,768.20 = 16,968.72/x
  3. Step 3: Cross multiply
    52,502x = 78,768.20 × 16,968.72
  4. Step 4: Simplify right side
    52,502x = 1,336,595,530.70
  5. Step 5: Solve for x
    x = 1,336,595,530.70/52,502
  6. Step 6: Final answer
    x = 25,457.99

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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.