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Finding the Fourth Proportional to 53,431, 80,121.32 and 31,251.12

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Solution

The fourth proportional to 53,431, 80,121.32 and 31,251.12 is: 46,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,431 : 80,121.32 = 31,251.12 : x
  2. Step 2: Convert to fraction form
    53,431/80,121.32 = 31,251.12/x
  3. Step 3: Cross multiply
    53,431x = 80,121.32 × 31,251.12
  4. Step 4: Simplify right side
    53,431x = 2,503,880,985.88
  5. Step 5: Solve for x
    x = 2,503,880,985.88/53,431
  6. Step 6: Final answer
    x = 46,861.95

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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.