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Finding the Fourth Proportional to 78,214.58, 117,356.75 and 36,072

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Solution

The fourth proportional to 78,214.58, 117,356.75 and 36,072 is: 54,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,214.58 : 117,356.75 = 36,072 : x
  2. Step 2: Convert to fraction form
    78,214.58/117,356.75 = 36,072/x
  3. Step 3: Cross multiply
    78,214.58x = 117,356.75 × 36,072
  4. Step 4: Simplify right side
    78,214.58x = 4,233,292,640.91
  5. Step 5: Solve for x
    x = 4,233,292,640.91/78,214.58
  6. Step 6: Final answer
    x = 54,124.09

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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.