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Finding the Fourth Proportional to 55,290, 76,300.22 and 31,416.70

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Solution

The fourth proportional to 55,290, 76,300.22 and 31,416.70 is: 43,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,290 : 76,300.22 = 31,416.70 : x
  2. Step 2: Convert to fraction form
    55,290/76,300.22 = 31,416.70/x
  3. Step 3: Cross multiply
    55,290x = 76,300.22 × 31,416.70
  4. Step 4: Simplify right side
    55,290x = 2,397,101,121.67
  5. Step 5: Solve for x
    x = 2,397,101,121.67/55,290
  6. Step 6: Final answer
    x = 43,355.06

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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.