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Finding the Fourth Proportional to 209,981.53, 315,035.88 and 75,027.93

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Solution

The fourth proportional to 209,981.53, 315,035.88 and 75,027.93 is: 112,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,981.53 : 315,035.88 = 75,027.93 : x
  2. Step 2: Convert to fraction form
    209,981.53/315,035.88 = 75,027.93/x
  3. Step 3: Cross multiply
    209,981.53x = 315,035.88 × 75,027.93
  4. Step 4: Simplify right side
    209,981.53x = 23,636,489,952.13
  5. Step 5: Solve for x
    x = 23,636,489,952.13/209,981.53
  6. Step 6: Final answer
    x = 112,564.61

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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.