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Finding the Fourth Proportional to 78,384.66, 117,496.45 and 30,980.49

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Solution

The fourth proportional to 78,384.66, 117,496.45 and 30,980.49 is: 46,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.66 : 117,496.45 = 30,980.49 : x
  2. Step 2: Convert to fraction form
    78,384.66/117,496.45 = 30,980.49/x
  3. Step 3: Cross multiply
    78,384.66x = 117,496.45 × 30,980.49
  4. Step 4: Simplify right side
    78,384.66x = 3,640,097,594.26
  5. Step 5: Solve for x
    x = 3,640,097,594.26/78,384.66
  6. Step 6: Final answer
    x = 46,438.90

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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.