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Finding the Fourth Proportional to 55,697.76, 76,873.86 and 31,822.20

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Solution

The fourth proportional to 55,697.76, 76,873.86 and 31,822.20 is: 43,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,697.76 : 76,873.86 = 31,822.20 : x
  2. Step 2: Convert to fraction form
    55,697.76/76,873.86 = 31,822.20/x
  3. Step 3: Cross multiply
    55,697.76x = 76,873.86 × 31,822.20
  4. Step 4: Simplify right side
    55,697.76x = 2,446,295,347.69
  5. Step 5: Solve for x
    x = 2,446,295,347.69/55,697.76
  6. Step 6: Final answer
    x = 43,920.89

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1.5x scale

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.