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Finding the Fourth Proportional to 115,886.76, 159,939.93 and 83,725.47

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Solution

The fourth proportional to 115,886.76, 159,939.93 and 83,725.47 is: 115,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,886.76 : 159,939.93 = 83,725.47 : x
  2. Step 2: Convert to fraction form
    115,886.76/159,939.93 = 83,725.47/x
  3. Step 3: Cross multiply
    115,886.76x = 159,939.93 × 83,725.47
  4. Step 4: Simplify right side
    115,886.76x = 13,391,045,811.02
  5. Step 5: Solve for x
    x = 13,391,045,811.02/115,886.76
  6. Step 6: Final answer
    x = 115,552.85

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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.