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Finding the Fourth Proportional to 53,699.71, 80,561.18 and 20,420.40

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Solution

The fourth proportional to 53,699.71, 80,561.18 and 20,420.40 is: 30,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,699.71 : 80,561.18 = 20,420.40 : x
  2. Step 2: Convert to fraction form
    53,699.71/80,561.18 = 20,420.40/x
  3. Step 3: Cross multiply
    53,699.71x = 80,561.18 × 20,420.40
  4. Step 4: Simplify right side
    53,699.71x = 1,645,091,873.23
  5. Step 5: Solve for x
    x = 1,645,091,873.23/53,699.71
  6. Step 6: Final answer
    x = 30,635.02

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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.