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Finding the Fourth Proportional to 112,725.64, 169,101.42 and 65,978.92

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Solution

The fourth proportional to 112,725.64, 169,101.42 and 65,978.92 is: 98,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,725.64 : 169,101.42 = 65,978.92 : x
  2. Step 2: Convert to fraction form
    112,725.64/169,101.42 = 65,978.92/x
  3. Step 3: Cross multiply
    112,725.64x = 169,101.42 × 65,978.92
  4. Step 4: Simplify right side
    112,725.64x = 11,157,129,062.07
  5. Step 5: Solve for x
    x = 11,157,129,062.07/112,725.64
  6. Step 6: Final answer
    x = 98,975.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.