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Finding the Fourth Proportional to 53,891.52, 80,834.40 and 18,830.40

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Solution

The fourth proportional to 53,891.52, 80,834.40 and 18,830.40 is: 28,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,891.52 : 80,834.40 = 18,830.40 : x
  2. Step 2: Convert to fraction form
    53,891.52/80,834.40 = 18,830.40/x
  3. Step 3: Cross multiply
    53,891.52x = 80,834.40 × 18,830.40
  4. Step 4: Simplify right side
    53,891.52x = 1,522,144,085.76
  5. Step 5: Solve for x
    x = 1,522,144,085.76/53,891.52
  6. Step 6: Final answer
    x = 28,244.59

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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.