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Finding the Fourth Proportional to 82,407.80, 123,611.70 and 76,878.20

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Solution

The fourth proportional to 82,407.80, 123,611.70 and 76,878.20 is: 115,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.80 : 123,611.70 = 76,878.20 : x
  2. Step 2: Convert to fraction form
    82,407.80/123,611.70 = 76,878.20/x
  3. Step 3: Cross multiply
    82,407.80x = 123,611.70 × 76,878.20
  4. Step 4: Simplify right side
    82,407.80x = 9,503,044,994.94
  5. Step 5: Solve for x
    x = 9,503,044,994.94/82,407.80
  6. Step 6: Final answer
    x = 115,317.30

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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.