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Finding the Fourth Proportional to 52,394.45, 78,623.87 and 20,798.98

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Solution

The fourth proportional to 52,394.45, 78,623.87 and 20,798.98 is: 31,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,394.45 : 78,623.87 = 20,798.98 : x
  2. Step 2: Convert to fraction form
    52,394.45/78,623.87 = 20,798.98/x
  3. Step 3: Cross multiply
    52,394.45x = 78,623.87 × 20,798.98
  4. Step 4: Simplify right side
    52,394.45x = 1,635,295,999.10
  5. Step 5: Solve for x
    x = 1,635,295,999.10/52,394.45
  6. Step 6: Final answer
    x = 31,211.25

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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.