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Finding the Fourth Proportional to 55,440, 76,507.20 and 33,084

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Solution

The fourth proportional to 55,440, 76,507.20 and 33,084 is: 45,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,440 : 76,507.20 = 33,084 : x
  2. Step 2: Convert to fraction form
    55,440/76,507.20 = 33,084/x
  3. Step 3: Cross multiply
    55,440x = 76,507.20 × 33,084
  4. Step 4: Simplify right side
    55,440x = 2,531,164,204.80
  5. Step 5: Solve for x
    x = 2,531,164,204.80/55,440
  6. Step 6: Final answer
    x = 45,655.92

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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.