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Finding the Fourth Proportional to 154,563.36, 213,767.01 and 138,642

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Solution

The fourth proportional to 154,563.36, 213,767.01 and 138,642 is: 191,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,563.36 : 213,767.01 = 138,642 : x
  2. Step 2: Convert to fraction form
    154,563.36/213,767.01 = 138,642/x
  3. Step 3: Cross multiply
    154,563.36x = 213,767.01 × 138,642
  4. Step 4: Simplify right side
    154,563.36x = 29,637,085,800.42
  5. Step 5: Solve for x
    x = 29,637,085,800.42/154,563.36
  6. Step 6: Final answer
    x = 191,747.16

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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.