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Finding the Fourth Proportional to 221,965, 332,957.18 and 64,209.40

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Solution

The fourth proportional to 221,965, 332,957.18 and 64,209.40 is: 96,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,965 : 332,957.18 = 64,209.40 : x
  2. Step 2: Convert to fraction form
    221,965/332,957.18 = 64,209.40/x
  3. Step 3: Cross multiply
    221,965x = 332,957.18 × 64,209.40
  4. Step 4: Simplify right side
    221,965x = 21,378,980,753.49
  5. Step 5: Solve for x
    x = 21,378,980,753.49/221,965
  6. Step 6: Final answer
    x = 96,316.90

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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.