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Finding the Fourth Proportional to 53,104.54, 79,656.81 and 19,827.20

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Solution

The fourth proportional to 53,104.54, 79,656.81 and 19,827.20 is: 29,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,104.54 : 79,656.81 = 19,827.20 : x
  2. Step 2: Convert to fraction form
    53,104.54/79,656.81 = 19,827.20/x
  3. Step 3: Cross multiply
    53,104.54x = 79,656.81 × 19,827.20
  4. Step 4: Simplify right side
    53,104.54x = 1,579,371,193.89
  5. Step 5: Solve for x
    x = 1,579,371,193.89/53,104.54
  6. Step 6: Final answer
    x = 29,740.80

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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.