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Finding the Fourth Proportional to 78,384.90, 117,496.82 and 30,980.74

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Solution

The fourth proportional to 78,384.90, 117,496.82 and 30,980.74 is: 46,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.90 : 117,496.82 = 30,980.74 : x
  2. Step 2: Convert to fraction form
    78,384.90/117,496.82 = 30,980.74/x
  3. Step 3: Cross multiply
    78,384.90x = 117,496.82 × 30,980.74
  4. Step 4: Simplify right side
    78,384.90x = 3,640,138,431.25
  5. Step 5: Solve for x
    x = 3,640,138,431.25/78,384.90
  6. Step 6: Final answer
    x = 46,439.28

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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.