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Finding the Fourth Proportional to 51,807.70, 77,708.04 and 20,211.94

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Solution

The fourth proportional to 51,807.70, 77,708.04 and 20,211.94 is: 30,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.70 : 77,708.04 = 20,211.94 : x
  2. Step 2: Convert to fraction form
    51,807.70/77,708.04 = 20,211.94/x
  3. Step 3: Cross multiply
    51,807.70x = 77,708.04 × 20,211.94
  4. Step 4: Simplify right side
    51,807.70x = 1,570,630,242.00
  5. Step 5: Solve for x
    x = 1,570,630,242.00/51,807.70
  6. Step 6: Final answer
    x = 30,316.54

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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.