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Finding the Fourth Proportional to 137,763.58, 190,111.26 and 77,329.48

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Solution

The fourth proportional to 137,763.58, 190,111.26 and 77,329.48 is: 106,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,763.58 : 190,111.26 = 77,329.48 : x
  2. Step 2: Convert to fraction form
    137,763.58/190,111.26 = 77,329.48/x
  3. Step 3: Cross multiply
    137,763.58x = 190,111.26 × 77,329.48
  4. Step 4: Simplify right side
    137,763.58x = 14,701,204,877.94
  5. Step 5: Solve for x
    x = 14,701,204,877.94/137,763.58
  6. Step 6: Final answer
    x = 106,713.29

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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.