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Finding the Fourth Proportional to 76,686.84, 114,976.90 and 33,969.08

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Solution

The fourth proportional to 76,686.84, 114,976.90 and 33,969.08 is: 50,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,686.84 : 114,976.90 = 33,969.08 : x
  2. Step 2: Convert to fraction form
    76,686.84/114,976.90 = 33,969.08/x
  3. Step 3: Cross multiply
    76,686.84x = 114,976.90 × 33,969.08
  4. Step 4: Simplify right side
    76,686.84x = 3,905,658,854.44
  5. Step 5: Solve for x
    x = 3,905,658,854.44/76,686.84
  6. Step 6: Final answer
    x = 50,929.98

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1.5x scale

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.