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Finding the Fourth Proportional to 136,822.70, 205,363.65 and 84,334.70

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Solution

The fourth proportional to 136,822.70, 205,363.65 and 84,334.70 is: 126,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,822.70 : 205,363.65 = 84,334.70 : x
  2. Step 2: Convert to fraction form
    136,822.70/205,363.65 = 84,334.70/x
  3. Step 3: Cross multiply
    136,822.70x = 205,363.65 × 84,334.70
  4. Step 4: Simplify right side
    136,822.70x = 17,319,281,813.66
  5. Step 5: Solve for x
    x = 17,319,281,813.66/136,822.70
  6. Step 6: Final answer
    x = 126,581.93

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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.