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Finding the Fourth Proportional to 51,165.84, 76,759.20 and 21,583.68

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Solution

The fourth proportional to 51,165.84, 76,759.20 and 21,583.68 is: 32,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165.84 : 76,759.20 = 21,583.68 : x
  2. Step 2: Convert to fraction form
    51,165.84/76,759.20 = 21,583.68/x
  3. Step 3: Cross multiply
    51,165.84x = 76,759.20 × 21,583.68
  4. Step 4: Simplify right side
    51,165.84x = 1,656,746,009.86
  5. Step 5: Solve for x
    x = 1,656,746,009.86/51,165.84
  6. Step 6: Final answer
    x = 32,379.92

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1.5x scale

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.