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Finding the Fourth Proportional to 55,432, 76,497.84 and 30,283.12

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Solution

The fourth proportional to 55,432, 76,497.84 and 30,283.12 is: 41,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,432 : 76,497.84 = 30,283.12 : x
  2. Step 2: Convert to fraction form
    55,432/76,497.84 = 30,283.12/x
  3. Step 3: Cross multiply
    55,432x = 76,497.84 × 30,283.12
  4. Step 4: Simplify right side
    55,432x = 2,316,593,268.46
  5. Step 5: Solve for x
    x = 2,316,593,268.46/55,432
  6. Step 6: Final answer
    x = 41,791.62

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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.