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Finding the Fourth Proportional to 306,039.14, 459,022.14 and 81,416

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Solution

The fourth proportional to 306,039.14, 459,022.14 and 81,416 is: 122,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,039.14 : 459,022.14 = 81,416 : x
  2. Step 2: Convert to fraction form
    306,039.14/459,022.14 = 81,416/x
  3. Step 3: Cross multiply
    306,039.14x = 459,022.14 × 81,416
  4. Step 4: Simplify right side
    306,039.14x = 37,371,746,550.24
  5. Step 5: Solve for x
    x = 37,371,746,550.24/306,039.14
  6. Step 6: Final answer
    x = 122,114.27

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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.