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Finding the Fourth Proportional to 53,870.92, 80,750.21 and 30,143.68

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Solution

The fourth proportional to 53,870.92, 80,750.21 and 30,143.68 is: 45,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,870.92 : 80,750.21 = 30,143.68 : x
  2. Step 2: Convert to fraction form
    53,870.92/80,750.21 = 30,143.68/x
  3. Step 3: Cross multiply
    53,870.92x = 80,750.21 × 30,143.68
  4. Step 4: Simplify right side
    53,870.92x = 2,434,108,137.58
  5. Step 5: Solve for x
    x = 2,434,108,137.58/53,870.92
  6. Step 6: Final answer
    x = 45,184.09

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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.