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Finding the Fourth Proportional to 106,989.80, 160,830.30 and 76,039.40

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Solution

The fourth proportional to 106,989.80, 160,830.30 and 76,039.40 is: 114,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989.80 : 160,830.30 = 76,039.40 : x
  2. Step 2: Convert to fraction form
    106,989.80/160,830.30 = 76,039.40/x
  3. Step 3: Cross multiply
    106,989.80x = 160,830.30 × 76,039.40
  4. Step 4: Simplify right side
    106,989.80x = 12,229,439,513.82
  5. Step 5: Solve for x
    x = 12,229,439,513.82/106,989.80
  6. Step 6: Final answer
    x = 114,304.72

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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.