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Finding the Fourth Proportional to 138,118.77, 190,620.74 and 77,691.96

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Solution

The fourth proportional to 138,118.77, 190,620.74 and 77,691.96 is: 107,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,118.77 : 190,620.74 = 77,691.96 : x
  2. Step 2: Convert to fraction form
    138,118.77/190,620.74 = 77,691.96/x
  3. Step 3: Cross multiply
    138,118.77x = 190,620.74 × 77,691.96
  4. Step 4: Simplify right side
    138,118.77x = 14,809,699,101.48
  5. Step 5: Solve for x
    x = 14,809,699,101.48/138,118.77
  6. Step 6: Final answer
    x = 107,224.38

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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.