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Finding the Fourth Proportional to 54,031.80, 81,051.59 and 20,751.86

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Solution

The fourth proportional to 54,031.80, 81,051.59 and 20,751.86 is: 31,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,031.80 : 81,051.59 = 20,751.86 : x
  2. Step 2: Convert to fraction form
    54,031.80/81,051.59 = 20,751.86/x
  3. Step 3: Cross multiply
    54,031.80x = 81,051.59 × 20,751.86
  4. Step 4: Simplify right side
    54,031.80x = 1,681,971,158.28
  5. Step 5: Solve for x
    x = 1,681,971,158.28/54,031.80
  6. Step 6: Final answer
    x = 31,129.28

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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.