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Finding the Fourth Proportional to 239,184, 330,074 and 138,640.32

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Solution

The fourth proportional to 239,184, 330,074 and 138,640.32 is: 191,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,184 : 330,074 = 138,640.32 : x
  2. Step 2: Convert to fraction form
    239,184/330,074 = 138,640.32/x
  3. Step 3: Cross multiply
    239,184x = 330,074 × 138,640.32
  4. Step 4: Simplify right side
    239,184x = 45,761,564,983.68
  5. Step 5: Solve for x
    x = 45,761,564,983.68/239,184
  6. Step 6: Final answer
    x = 191,323.69

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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.