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Finding the Fourth Proportional to 205,056.10, 307,615.83 and 86,728.10

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Solution

The fourth proportional to 205,056.10, 307,615.83 and 86,728.10 is: 130,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,056.10 : 307,615.83 = 86,728.10 : x
  2. Step 2: Convert to fraction form
    205,056.10/307,615.83 = 86,728.10/x
  3. Step 3: Cross multiply
    205,056.10x = 307,615.83 × 86,728.10
  4. Step 4: Simplify right side
    205,056.10x = 26,678,936,465.82
  5. Step 5: Solve for x
    x = 26,678,936,465.82/205,056.10
  6. Step 6: Final answer
    x = 130,105.55

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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.