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Finding the Fourth Proportional to 221,646.34, 332,615.40 and 81,406.18

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Solution

The fourth proportional to 221,646.34, 332,615.40 and 81,406.18 is: 122,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,646.34 : 332,615.40 = 81,406.18 : x
  2. Step 2: Convert to fraction form
    221,646.34/332,615.40 = 81,406.18/x
  3. Step 3: Cross multiply
    221,646.34x = 332,615.40 × 81,406.18
  4. Step 4: Simplify right side
    221,646.34x = 27,076,949,123.17
  5. Step 5: Solve for x
    x = 27,076,949,123.17/221,646.34
  6. Step 6: Final answer
    x = 122,162.85

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1.5x scale

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.