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Finding the Fourth Proportional to 151,275, 208,759.50 and 84,211.32

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Solution

The fourth proportional to 151,275, 208,759.50 and 84,211.32 is: 116,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,275 : 208,759.50 = 84,211.32 : x
  2. Step 2: Convert to fraction form
    151,275/208,759.50 = 84,211.32/x
  3. Step 3: Cross multiply
    151,275x = 208,759.50 × 84,211.32
  4. Step 4: Simplify right side
    151,275x = 17,579,913,057.54
  5. Step 5: Solve for x
    x = 17,579,913,057.54/151,275
  6. Step 6: Final answer
    x = 116,211.62

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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.