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Finding the Fourth Proportional to 137,756.88, 190,107.27 and 77,331.96

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Solution

The fourth proportional to 137,756.88, 190,107.27 and 77,331.96 is: 106,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,756.88 : 190,107.27 = 77,331.96 : x
  2. Step 2: Convert to fraction form
    137,756.88/190,107.27 = 77,331.96/x
  3. Step 3: Cross multiply
    137,756.88x = 190,107.27 × 77,331.96
  4. Step 4: Simplify right side
    137,756.88x = 14,701,367,799.35
  5. Step 5: Solve for x
    x = 14,701,367,799.35/137,756.88
  6. Step 6: Final answer
    x = 106,719.66

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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.