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Finding the Fourth Proportional to 149,046.45, 205,623.42 and 84,502.08

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Solution

The fourth proportional to 149,046.45, 205,623.42 and 84,502.08 is: 116,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046.45 : 205,623.42 = 84,502.08 : x
  2. Step 2: Convert to fraction form
    149,046.45/205,623.42 = 84,502.08/x
  3. Step 3: Cross multiply
    149,046.45x = 205,623.42 × 84,502.08
  4. Step 4: Simplify right side
    149,046.45x = 17,375,606,686.71
  5. Step 5: Solve for x
    x = 17,375,606,686.71/149,046.45
  6. Step 6: Final answer
    x = 116,578.47

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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.