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Finding the Fourth Proportional to 221,981.60, 332,972.40 and 97,322.60

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Solution

The fourth proportional to 221,981.60, 332,972.40 and 97,322.60 is: 145,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,981.60 : 332,972.40 = 97,322.60 : x
  2. Step 2: Convert to fraction form
    221,981.60/332,972.40 = 97,322.60/x
  3. Step 3: Cross multiply
    221,981.60x = 332,972.40 × 97,322.60
  4. Step 4: Simplify right side
    221,981.60x = 32,405,739,696.24
  5. Step 5: Solve for x
    x = 32,405,739,696.24/221,981.60
  6. Step 6: Final answer
    x = 145,983.90

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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.