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Finding the Fourth Proportional to 55,584, 76,705.92 and 30,433.68

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Solution

The fourth proportional to 55,584, 76,705.92 and 30,433.68 is: 41,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,584 : 76,705.92 = 30,433.68 : x
  2. Step 2: Convert to fraction form
    55,584/76,705.92 = 30,433.68/x
  3. Step 3: Cross multiply
    55,584x = 76,705.92 × 30,433.68
  4. Step 4: Simplify right side
    55,584x = 2,334,443,423.39
  5. Step 5: Solve for x
    x = 2,334,443,423.39/55,584
  6. Step 6: Final answer
    x = 41,998.48

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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.