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Finding the Fourth Proportional to 48,978.42, 67,590.25 and 28,847.80

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Solution

The fourth proportional to 48,978.42, 67,590.25 and 28,847.80 is: 39,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.42 : 67,590.25 = 28,847.80 : x
  2. Step 2: Convert to fraction form
    48,978.42/67,590.25 = 28,847.80/x
  3. Step 3: Cross multiply
    48,978.42x = 67,590.25 × 28,847.80
  4. Step 4: Simplify right side
    48,978.42x = 1,949,829,646.12
  5. Step 5: Solve for x
    x = 1,949,829,646.12/48,978.42
  6. Step 6: Final answer
    x = 39,809.97

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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.