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Finding the Fourth Proportional to 268,213.14, 402,395.04 and 78,678

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Solution

The fourth proportional to 268,213.14, 402,395.04 and 78,678 is: 118,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,213.14 : 402,395.04 = 78,678 : x
  2. Step 2: Convert to fraction form
    268,213.14/402,395.04 = 78,678/x
  3. Step 3: Cross multiply
    268,213.14x = 402,395.04 × 78,678
  4. Step 4: Simplify right side
    268,213.14x = 31,659,636,957.12
  5. Step 5: Solve for x
    x = 31,659,636,957.12/268,213.14
  6. Step 6: Final answer
    x = 118,039.10

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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.