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Finding the Fourth Proportional to 208,888.48, 313,440.72 and 103,705.12

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Solution

The fourth proportional to 208,888.48, 313,440.72 and 103,705.12 is: 155,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,888.48 : 313,440.72 = 103,705.12 : x
  2. Step 2: Convert to fraction form
    208,888.48/313,440.72 = 103,705.12/x
  3. Step 3: Cross multiply
    208,888.48x = 313,440.72 × 103,705.12
  4. Step 4: Simplify right side
    208,888.48x = 32,505,407,480.49
  5. Step 5: Solve for x
    x = 32,505,407,480.49/208,888.48
  6. Step 6: Final answer
    x = 155,611.30

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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.