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Finding the Fourth Proportional to 221,776.32, 332,664.96 and 55,564.80

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Solution

The fourth proportional to 221,776.32, 332,664.96 and 55,564.80 is: 83,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,776.32 : 332,664.96 = 55,564.80 : x
  2. Step 2: Convert to fraction form
    221,776.32/332,664.96 = 55,564.80/x
  3. Step 3: Cross multiply
    221,776.32x = 332,664.96 × 55,564.80
  4. Step 4: Simplify right side
    221,776.32x = 18,484,461,969.41
  5. Step 5: Solve for x
    x = 18,484,461,969.41/221,776.32
  6. Step 6: Final answer
    x = 83,347.32

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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.