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Finding the Fourth Proportional to 185,080.89, 255,413.43 and 100,199.76

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Solution

The fourth proportional to 185,080.89, 255,413.43 and 100,199.76 is: 138,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,080.89 : 255,413.43 = 100,199.76 : x
  2. Step 2: Convert to fraction form
    185,080.89/255,413.43 = 100,199.76/x
  3. Step 3: Cross multiply
    185,080.89x = 255,413.43 × 100,199.76
  4. Step 4: Simplify right side
    185,080.89x = 25,592,364,386.78
  5. Step 5: Solve for x
    x = 25,592,364,386.78/185,080.89
  6. Step 6: Final answer
    x = 138,276.64

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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.