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Finding the Fourth Proportional to 78,021.70, 117,225.12 and 49,953.98

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Solution

The fourth proportional to 78,021.70, 117,225.12 and 49,953.98 is: 75,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,021.70 : 117,225.12 = 49,953.98 : x
  2. Step 2: Convert to fraction form
    78,021.70/117,225.12 = 49,953.98/x
  3. Step 3: Cross multiply
    78,021.70x = 117,225.12 × 49,953.98
  4. Step 4: Simplify right side
    78,021.70x = 5,855,861,299.98
  5. Step 5: Solve for x
    x = 5,855,861,299.98/78,021.70
  6. Step 6: Final answer
    x = 75,054.26

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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.