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Finding the Fourth Proportional to 52,765.26, 72,815.94 and 28,891.74

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Solution

The fourth proportional to 52,765.26, 72,815.94 and 28,891.74 is: 39,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,765.26 : 72,815.94 = 28,891.74 : x
  2. Step 2: Convert to fraction form
    52,765.26/72,815.94 = 28,891.74/x
  3. Step 3: Cross multiply
    52,765.26x = 72,815.94 × 28,891.74
  4. Step 4: Simplify right side
    52,765.26x = 2,103,779,206.34
  5. Step 5: Solve for x
    x = 2,103,779,206.34/52,765.26
  6. Step 6: Final answer
    x = 39,870.54

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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.