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Finding the Fourth Proportional to 53,806.52, 80,743.80 and 20,530.10

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Solution

The fourth proportional to 53,806.52, 80,743.80 and 20,530.10 is: 30,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806.52 : 80,743.80 = 20,530.10 : x
  2. Step 2: Convert to fraction form
    53,806.52/80,743.80 = 20,530.10/x
  3. Step 3: Cross multiply
    53,806.52x = 80,743.80 × 20,530.10
  4. Step 4: Simplify right side
    53,806.52x = 1,657,678,288.38
  5. Step 5: Solve for x
    x = 1,657,678,288.38/53,806.52
  6. Step 6: Final answer
    x = 30,808.13

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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.