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Finding the Fourth Proportional to 52,157.95, 71,978.01 and 28,284.62

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Solution

The fourth proportional to 52,157.95, 71,978.01 and 28,284.62 is: 39,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157.95 : 71,978.01 = 28,284.62 : x
  2. Step 2: Convert to fraction form
    52,157.95/71,978.01 = 28,284.62/x
  3. Step 3: Cross multiply
    52,157.95x = 71,978.01 × 28,284.62
  4. Step 4: Simplify right side
    52,157.95x = 2,035,870,195.25
  5. Step 5: Solve for x
    x = 2,035,870,195.25/52,157.95
  6. Step 6: Final answer
    x = 39,032.79

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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.