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Finding the Fourth Proportional to 205,084.80, 307,675.80 and 105,260.40

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Solution

The fourth proportional to 205,084.80, 307,675.80 and 105,260.40 is: 157,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,084.80 : 307,675.80 = 105,260.40 : x
  2. Step 2: Convert to fraction form
    205,084.80/307,675.80 = 105,260.40/x
  3. Step 3: Cross multiply
    205,084.80x = 307,675.80 × 105,260.40
  4. Step 4: Simplify right side
    205,084.80x = 32,386,077,778.32
  5. Step 5: Solve for x
    x = 32,386,077,778.32/205,084.80
  6. Step 6: Final answer
    x = 157,915.54

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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.