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Finding the Fourth Proportional to 205,571.61, 308,513.21 and 87,325.92

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Solution

The fourth proportional to 205,571.61, 308,513.21 and 87,325.92 is: 131,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,571.61 : 308,513.21 = 87,325.92 : x
  2. Step 2: Convert to fraction form
    205,571.61/308,513.21 = 87,325.92/x
  3. Step 3: Cross multiply
    205,571.61x = 308,513.21 × 87,325.92
  4. Step 4: Simplify right side
    205,571.61x = 26,941,199,458.77
  5. Step 5: Solve for x
    x = 26,941,199,458.77/205,571.61
  6. Step 6: Final answer
    x = 131,055.06

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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.