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Finding the Fourth Proportional to 289,781.87, 434,623.59 and 76,552.10

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Solution

The fourth proportional to 289,781.87, 434,623.59 and 76,552.10 is: 114,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.87 : 434,623.59 = 76,552.10 : x
  2. Step 2: Convert to fraction form
    289,781.87/434,623.59 = 76,552.10/x
  3. Step 3: Cross multiply
    289,781.87x = 434,623.59 × 76,552.10
  4. Step 4: Simplify right side
    289,781.87x = 33,271,348,795.68
  5. Step 5: Solve for x
    x = 33,271,348,795.68/289,781.87
  6. Step 6: Final answer
    x = 114,815.15

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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.