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Finding the Fourth Proportional to 205,305.40, 307,929.30 and 65,078.20

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Solution

The fourth proportional to 205,305.40, 307,929.30 and 65,078.20 is: 97,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,305.40 : 307,929.30 = 65,078.20 : x
  2. Step 2: Convert to fraction form
    205,305.40/307,929.30 = 65,078.20/x
  3. Step 3: Cross multiply
    205,305.40x = 307,929.30 × 65,078.20
  4. Step 4: Simplify right side
    205,305.40x = 20,039,484,571.26
  5. Step 5: Solve for x
    x = 20,039,484,571.26/205,305.40
  6. Step 6: Final answer
    x = 97,608.17

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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.