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Finding the Fourth Proportional to 55,570, 76,686.60 and 30,419.52

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Solution

The fourth proportional to 55,570, 76,686.60 and 30,419.52 is: 41,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,570 : 76,686.60 = 30,419.52 : x
  2. Step 2: Convert to fraction form
    55,570/76,686.60 = 30,419.52/x
  3. Step 3: Cross multiply
    55,570x = 76,686.60 × 30,419.52
  4. Step 4: Simplify right side
    55,570x = 2,332,769,562.43
  5. Step 5: Solve for x
    x = 2,332,769,562.43/55,570
  6. Step 6: Final answer
    x = 41,978.94

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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.