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Finding the Fourth Proportional to 138,410.55, 191,007.21 and 77,982.12

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Solution

The fourth proportional to 138,410.55, 191,007.21 and 77,982.12 is: 107,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.55 : 191,007.21 = 77,982.12 : x
  2. Step 2: Convert to fraction form
    138,410.55/191,007.21 = 77,982.12/x
  3. Step 3: Cross multiply
    138,410.55x = 191,007.21 × 77,982.12
  4. Step 4: Simplify right side
    138,410.55x = 14,895,147,171.09
  5. Step 5: Solve for x
    x = 14,895,147,171.09/138,410.55
  6. Step 6: Final answer
    x = 107,615.69

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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.