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Finding the Fourth Proportional to 55,692, 76,854.96 and 30,541.50

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Solution

The fourth proportional to 55,692, 76,854.96 and 30,541.50 is: 42,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692 : 76,854.96 = 30,541.50 : x
  2. Step 2: Convert to fraction form
    55,692/76,854.96 = 30,541.50/x
  3. Step 3: Cross multiply
    55,692x = 76,854.96 × 30,541.50
  4. Step 4: Simplify right side
    55,692x = 2,347,265,760.84
  5. Step 5: Solve for x
    x = 2,347,265,760.84/55,692
  6. Step 6: Final answer
    x = 42,147.27

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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.