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Finding the Fourth Proportional to 48,565, 72,855.60 and 16,983.88

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Solution

The fourth proportional to 48,565, 72,855.60 and 16,983.88 is: 25,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,565 : 72,855.60 = 16,983.88 : x
  2. Step 2: Convert to fraction form
    48,565/72,855.60 = 16,983.88/x
  3. Step 3: Cross multiply
    48,565x = 72,855.60 × 16,983.88
  4. Step 4: Simplify right side
    48,565x = 1,237,370,767.73
  5. Step 5: Solve for x
    x = 1,237,370,767.73/48,565
  6. Step 6: Final answer
    x = 25,478.65

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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.