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Finding the Fourth Proportional to 51,105.40, 76,658.10 and 13,665.40

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Solution

The fourth proportional to 51,105.40, 76,658.10 and 13,665.40 is: 20,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105.40 : 76,658.10 = 13,665.40 : x
  2. Step 2: Convert to fraction form
    51,105.40/76,658.10 = 13,665.40/x
  3. Step 3: Cross multiply
    51,105.40x = 76,658.10 × 13,665.40
  4. Step 4: Simplify right side
    51,105.40x = 1,047,563,599.74
  5. Step 5: Solve for x
    x = 1,047,563,599.74/51,105.40
  6. Step 6: Final answer
    x = 20,498.10

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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.