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Finding the Fourth Proportional to 55,278, 76,283.57 and 30,127.50

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Solution

The fourth proportional to 55,278, 76,283.57 and 30,127.50 is: 41,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278 : 76,283.57 = 30,127.50 : x
  2. Step 2: Convert to fraction form
    55,278/76,283.57 = 30,127.50/x
  3. Step 3: Cross multiply
    55,278x = 76,283.57 × 30,127.50
  4. Step 4: Simplify right side
    55,278x = 2,298,233,330.49
  5. Step 5: Solve for x
    x = 2,298,233,330.49/55,278
  6. Step 6: Final answer
    x = 41,575.91

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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.