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Finding the Fourth Proportional to 208,852.78, 313,308.34 and 103,643.50

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Solution

The fourth proportional to 208,852.78, 313,308.34 and 103,643.50 is: 155,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,852.78 : 313,308.34 = 103,643.50 : x
  2. Step 2: Convert to fraction form
    208,852.78/313,308.34 = 103,643.50/x
  3. Step 3: Cross multiply
    208,852.78x = 313,308.34 × 103,643.50
  4. Step 4: Simplify right side
    208,852.78x = 32,472,372,936.79
  5. Step 5: Solve for x
    x = 32,472,372,936.79/208,852.78
  6. Step 6: Final answer
    x = 155,479.73

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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.