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Finding the Fourth Proportional to 53,275.38, 79,892.30 and 19,977.30

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Solution

The fourth proportional to 53,275.38, 79,892.30 and 19,977.30 is: 29,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,275.38 : 79,892.30 = 19,977.30 : x
  2. Step 2: Convert to fraction form
    53,275.38/79,892.30 = 19,977.30/x
  3. Step 3: Cross multiply
    53,275.38x = 79,892.30 × 19,977.30
  4. Step 4: Simplify right side
    53,275.38x = 1,596,032,344.90
  5. Step 5: Solve for x
    x = 1,596,032,344.90/53,275.38
  6. Step 6: Final answer
    x = 29,958.16

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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.