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Finding the Fourth Proportional to 55,493.40, 76,585.90 and 31,627.76

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Solution

The fourth proportional to 55,493.40, 76,585.90 and 31,627.76 is: 43,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,493.40 : 76,585.90 = 31,627.76 : x
  2. Step 2: Convert to fraction form
    55,493.40/76,585.90 = 31,627.76/x
  3. Step 3: Cross multiply
    55,493.40x = 76,585.90 × 31,627.76
  4. Step 4: Simplify right side
    55,493.40x = 2,422,240,497.91
  5. Step 5: Solve for x
    x = 2,422,240,497.91/55,493.40
  6. Step 6: Final answer
    x = 43,649.16

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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.