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Finding the Fourth Proportional to 138,358.62, 190,938.74 and 84,642.66

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Solution

The fourth proportional to 138,358.62, 190,938.74 and 84,642.66 is: 116,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,358.62 : 190,938.74 = 84,642.66 : x
  2. Step 2: Convert to fraction form
    138,358.62/190,938.74 = 84,642.66/x
  3. Step 3: Cross multiply
    138,358.62x = 190,938.74 × 84,642.66
  4. Step 4: Simplify right side
    138,358.62x = 16,161,562,427.44
  5. Step 5: Solve for x
    x = 16,161,562,427.44/138,358.62
  6. Step 6: Final answer
    x = 116,809.22

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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.