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Finding the Fourth Proportional to 137,728.58, 190,041.44 and 77,301.77

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Solution

The fourth proportional to 137,728.58, 190,041.44 and 77,301.77 is: 106,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728.58 : 190,041.44 = 77,301.77 : x
  2. Step 2: Convert to fraction form
    137,728.58/190,041.44 = 77,301.77/x
  3. Step 3: Cross multiply
    137,728.58x = 190,041.44 × 77,301.77
  4. Step 4: Simplify right side
    137,728.58x = 14,690,538,348.63
  5. Step 5: Solve for x
    x = 14,690,538,348.63/137,728.58
  6. Step 6: Final answer
    x = 106,662.97

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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.