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Finding the Fourth Proportional to 138,794.78, 191,525.64 and 78,380.12

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Solution

The fourth proportional to 138,794.78, 191,525.64 and 78,380.12 is: 108,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,794.78 : 191,525.64 = 78,380.12 : x
  2. Step 2: Convert to fraction form
    138,794.78/191,525.64 = 78,380.12/x
  3. Step 3: Cross multiply
    138,794.78x = 191,525.64 × 78,380.12
  4. Step 4: Simplify right side
    138,794.78x = 15,011,802,646.28
  5. Step 5: Solve for x
    x = 15,011,802,646.28/138,794.78
  6. Step 6: Final answer
    x = 108,158.27

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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.