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Finding the Fourth Proportional to 137,943, 190,361.54 and 78,327

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Solution

The fourth proportional to 137,943, 190,361.54 and 78,327 is: 108,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,943 : 190,361.54 = 78,327 : x
  2. Step 2: Convert to fraction form
    137,943/190,361.54 = 78,327/x
  3. Step 3: Cross multiply
    137,943x = 190,361.54 × 78,327
  4. Step 4: Simplify right side
    137,943x = 14,910,448,343.58
  5. Step 5: Solve for x
    x = 14,910,448,343.58/137,943
  6. Step 6: Final answer
    x = 108,091.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.