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Finding the Fourth Proportional to 151,775.76, 209,441.44 and 83,791.04

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Solution

The fourth proportional to 151,775.76, 209,441.44 and 83,791.04 is: 115,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,775.76 : 209,441.44 = 83,791.04 : x
  2. Step 2: Convert to fraction form
    151,775.76/209,441.44 = 83,791.04/x
  3. Step 3: Cross multiply
    151,775.76x = 209,441.44 × 83,791.04
  4. Step 4: Simplify right side
    151,775.76x = 17,549,316,076.70
  5. Step 5: Solve for x
    x = 17,549,316,076.70/151,775.76
  6. Step 6: Final answer
    x = 115,626.61

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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.