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Finding the Fourth Proportional to 208,686.16, 313,083.84 and 90,329.84

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Solution

The fourth proportional to 208,686.16, 313,083.84 and 90,329.84 is: 135,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,686.16 : 313,083.84 = 90,329.84 : x
  2. Step 2: Convert to fraction form
    208,686.16/313,083.84 = 90,329.84/x
  3. Step 3: Cross multiply
    208,686.16x = 313,083.84 × 90,329.84
  4. Step 4: Simplify right side
    208,686.16x = 28,280,813,173.79
  5. Step 5: Solve for x
    x = 28,280,813,173.79/208,686.16
  6. Step 6: Final answer
    x = 135,518.39

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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.