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Finding the Fourth Proportional to 55,643.82, 76,765.95 and 31,765.74

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Solution

The fourth proportional to 55,643.82, 76,765.95 and 31,765.74 is: 43,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.82 : 76,765.95 = 31,765.74 : x
  2. Step 2: Convert to fraction form
    55,643.82/76,765.95 = 31,765.74/x
  3. Step 3: Cross multiply
    55,643.82x = 76,765.95 × 31,765.74
  4. Step 4: Simplify right side
    55,643.82x = 2,438,527,208.55
  5. Step 5: Solve for x
    x = 2,438,527,208.55/55,643.82
  6. Step 6: Final answer
    x = 43,823.86

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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.