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Finding the Fourth Proportional to 76,362.84, 114,599.76 and 57,666

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Solution

The fourth proportional to 76,362.84, 114,599.76 and 57,666 is: 86,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.84 : 114,599.76 = 57,666 : x
  2. Step 2: Convert to fraction form
    76,362.84/114,599.76 = 57,666/x
  3. Step 3: Cross multiply
    76,362.84x = 114,599.76 × 57,666
  4. Step 4: Simplify right side
    76,362.84x = 6,608,509,760.16
  5. Step 5: Solve for x
    x = 6,608,509,760.16/76,362.84
  6. Step 6: Final answer
    x = 86,540.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.