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Finding the Fourth Proportional to 205,084.40, 307,480.80 and 78,675.80

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Solution

The fourth proportional to 205,084.40, 307,480.80 and 78,675.80 is: 117,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,084.40 : 307,480.80 = 78,675.80 : x
  2. Step 2: Convert to fraction form
    205,084.40/307,480.80 = 78,675.80/x
  3. Step 3: Cross multiply
    205,084.40x = 307,480.80 × 78,675.80
  4. Step 4: Simplify right side
    205,084.40x = 24,191,297,924.64
  5. Step 5: Solve for x
    x = 24,191,297,924.64/205,084.40
  6. Step 6: Final answer
    x = 117,957.77

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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.