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Finding the Fourth Proportional to 138,145.57, 190,651.92 and 77,712.59

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Solution

The fourth proportional to 138,145.57, 190,651.92 and 77,712.59 is: 107,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,145.57 : 190,651.92 = 77,712.59 : x
  2. Step 2: Convert to fraction form
    138,145.57/190,651.92 = 77,712.59/x
  3. Step 3: Cross multiply
    138,145.57x = 190,651.92 × 77,712.59
  4. Step 4: Simplify right side
    138,145.57x = 14,816,054,491.67
  5. Step 5: Solve for x
    x = 14,816,054,491.67/138,145.57
  6. Step 6: Final answer
    x = 107,249.58

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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.