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Finding the Fourth Proportional to 208,978.84, 313,483.14 and 103,691.80

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Solution

The fourth proportional to 208,978.84, 313,483.14 and 103,691.80 is: 155,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.84 : 313,483.14 = 103,691.80 : x
  2. Step 2: Convert to fraction form
    208,978.84/313,483.14 = 103,691.80/x
  3. Step 3: Cross multiply
    208,978.84x = 313,483.14 × 103,691.80
  4. Step 4: Simplify right side
    208,978.84x = 32,505,631,056.25
  5. Step 5: Solve for x
    x = 32,505,631,056.25/208,978.84
  6. Step 6: Final answer
    x = 155,545.08

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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.