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Finding the Fourth Proportional to 205,363.20, 308,023.92 and 139,228.32

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Solution

The fourth proportional to 205,363.20, 308,023.92 and 139,228.32 is: 208,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,363.20 : 308,023.92 = 139,228.32 : x
  2. Step 2: Convert to fraction form
    205,363.20/308,023.92 = 139,228.32/x
  3. Step 3: Cross multiply
    205,363.20x = 308,023.92 × 139,228.32
  4. Step 4: Simplify right side
    205,363.20x = 42,885,652,901.41
  5. Step 5: Solve for x
    x = 42,885,652,901.41/205,363.20
  6. Step 6: Final answer
    x = 208,828.32

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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.