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Finding the Fourth Proportional to 55,751.40, 76,939.88 and 31,882.86

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Solution

The fourth proportional to 55,751.40, 76,939.88 and 31,882.86 is: 44,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,751.40 : 76,939.88 = 31,882.86 : x
  2. Step 2: Convert to fraction form
    55,751.40/76,939.88 = 31,882.86/x
  3. Step 3: Cross multiply
    55,751.40x = 76,939.88 × 31,882.86
  4. Step 4: Simplify right side
    55,751.40x = 2,453,063,263.04
  5. Step 5: Solve for x
    x = 2,453,063,263.04/55,751.40
  6. Step 6: Final answer
    x = 44,000.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.