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Finding the Fourth Proportional to 138,400.30, 207,600.45 and 120,904.30

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Solution

The fourth proportional to 138,400.30, 207,600.45 and 120,904.30 is: 181,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,400.30 : 207,600.45 = 120,904.30 : x
  2. Step 2: Convert to fraction form
    138,400.30/207,600.45 = 120,904.30/x
  3. Step 3: Cross multiply
    138,400.30x = 207,600.45 × 120,904.30
  4. Step 4: Simplify right side
    138,400.30x = 25,099,787,086.94
  5. Step 5: Solve for x
    x = 25,099,787,086.94/138,400.30
  6. Step 6: Final answer
    x = 181,356.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.