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Finding the Fourth Proportional to 205,932.40, 308,927.40 and 87,602.80

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Solution

The fourth proportional to 205,932.40, 308,927.40 and 87,602.80 is: 131,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,932.40 : 308,927.40 = 87,602.80 : x
  2. Step 2: Convert to fraction form
    205,932.40/308,927.40 = 87,602.80/x
  3. Step 3: Cross multiply
    205,932.40x = 308,927.40 × 87,602.80
  4. Step 4: Simplify right side
    205,932.40x = 27,062,905,236.72
  5. Step 5: Solve for x
    x = 27,062,905,236.72/205,932.40
  6. Step 6: Final answer
    x = 131,416.45

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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.