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Finding the Fourth Proportional to 51,169.50, 70,614.45 and 28,813.50

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Solution

The fourth proportional to 51,169.50, 70,614.45 and 28,813.50 is: 39,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,169.50 : 70,614.45 = 28,813.50 : x
  2. Step 2: Convert to fraction form
    51,169.50/70,614.45 = 28,813.50/x
  3. Step 3: Cross multiply
    51,169.50x = 70,614.45 × 28,813.50
  4. Step 4: Simplify right side
    51,169.50x = 2,034,649,455.08
  5. Step 5: Solve for x
    x = 2,034,649,455.08/51,169.50
  6. Step 6: Final answer
    x = 39,762.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.