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Finding the Fourth Proportional to 205,987.81, 308,732.20 and 87,410.05

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Solution

The fourth proportional to 205,987.81, 308,732.20 and 87,410.05 is: 131,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,987.81 : 308,732.20 = 87,410.05 : x
  2. Step 2: Convert to fraction form
    205,987.81/308,732.20 = 87,410.05/x
  3. Step 3: Cross multiply
    205,987.81x = 308,732.20 × 87,410.05
  4. Step 4: Simplify right side
    205,987.81x = 26,986,297,038.61
  5. Step 5: Solve for x
    x = 26,986,297,038.61/205,987.81
  6. Step 6: Final answer
    x = 131,009.19

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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.