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Finding the Fourth Proportional to 53,083.68, 79,623 and 19,801.20

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Solution

The fourth proportional to 53,083.68, 79,623 and 19,801.20 is: 29,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,083.68 : 79,623 = 19,801.20 : x
  2. Step 2: Convert to fraction form
    53,083.68/79,623 = 19,801.20/x
  3. Step 3: Cross multiply
    53,083.68x = 79,623 × 19,801.20
  4. Step 4: Simplify right side
    53,083.68x = 1,576,630,947.60
  5. Step 5: Solve for x
    x = 1,576,630,947.60/53,083.68
  6. Step 6: Final answer
    x = 29,700.86

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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.