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Finding the Fourth Proportional to 151,502.52, 209,080.62 and 84,435

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Solution

The fourth proportional to 151,502.52, 209,080.62 and 84,435 is: 116,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,502.52 : 209,080.62 = 84,435 : x
  2. Step 2: Convert to fraction form
    151,502.52/209,080.62 = 84,435/x
  3. Step 3: Cross multiply
    151,502.52x = 209,080.62 × 84,435
  4. Step 4: Simplify right side
    151,502.52x = 17,653,722,149.70
  5. Step 5: Solve for x
    x = 17,653,722,149.70/151,502.52
  6. Step 6: Final answer
    x = 116,524.28

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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.