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Finding the Fourth Proportional to 78,100.49, 117,135.90 and 38,079.30

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Solution

The fourth proportional to 78,100.49, 117,135.90 and 38,079.30 is: 57,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100.49 : 117,135.90 = 38,079.30 : x
  2. Step 2: Convert to fraction form
    78,100.49/117,135.90 = 38,079.30/x
  3. Step 3: Cross multiply
    78,100.49x = 117,135.90 × 38,079.30
  4. Step 4: Simplify right side
    78,100.49x = 4,460,453,076.87
  5. Step 5: Solve for x
    x = 4,460,453,076.87/78,100.49
  6. Step 6: Final answer
    x = 57,111.72

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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.