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Finding the Fourth Proportional to 205,079.40, 307,660.14 and 86,750.28

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Solution

The fourth proportional to 205,079.40, 307,660.14 and 86,750.28 is: 130,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,079.40 : 307,660.14 = 86,750.28 : x
  2. Step 2: Convert to fraction form
    205,079.40/307,660.14 = 86,750.28/x
  3. Step 3: Cross multiply
    205,079.40x = 307,660.14 × 86,750.28
  4. Step 4: Simplify right side
    205,079.40x = 26,689,603,289.84
  5. Step 5: Solve for x
    x = 26,689,603,289.84/205,079.40
  6. Step 6: Final answer
    x = 130,142.78

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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.