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Finding the Fourth Proportional to 51,271.60, 76,900.80 and 16,214.80

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Solution

The fourth proportional to 51,271.60, 76,900.80 and 16,214.80 is: 24,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,271.60 : 76,900.80 = 16,214.80 : x
  2. Step 2: Convert to fraction form
    51,271.60/76,900.80 = 16,214.80/x
  3. Step 3: Cross multiply
    51,271.60x = 76,900.80 × 16,214.80
  4. Step 4: Simplify right side
    51,271.60x = 1,246,931,091.84
  5. Step 5: Solve for x
    x = 1,246,931,091.84/51,271.60
  6. Step 6: Final answer
    x = 24,320.11

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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.