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Finding the Fourth Proportional to 53,985.60, 80,954.10 and 20,694.60

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Solution

The fourth proportional to 53,985.60, 80,954.10 and 20,694.60 is: 31,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,985.60 : 80,954.10 = 20,694.60 : x
  2. Step 2: Convert to fraction form
    53,985.60/80,954.10 = 20,694.60/x
  3. Step 3: Cross multiply
    53,985.60x = 80,954.10 × 20,694.60
  4. Step 4: Simplify right side
    53,985.60x = 1,675,312,717.86
  5. Step 5: Solve for x
    x = 1,675,312,717.86/53,985.60
  6. Step 6: Final answer
    x = 31,032.58

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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.