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Finding the Fourth Proportional to 51,107.70, 76,661.55 and 31,424.70

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Solution

The fourth proportional to 51,107.70, 76,661.55 and 31,424.70 is: 47,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,107.70 : 76,661.55 = 31,424.70 : x
  2. Step 2: Convert to fraction form
    51,107.70/76,661.55 = 31,424.70/x
  3. Step 3: Cross multiply
    51,107.70x = 76,661.55 × 31,424.70
  4. Step 4: Simplify right side
    51,107.70x = 2,409,066,210.29
  5. Step 5: Solve for x
    x = 2,409,066,210.29/51,107.70
  6. Step 6: Final answer
    x = 47,137.05

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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.