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Finding the Fourth Proportional to 221,264.64, 331,900.80 and 55,053.12

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Solution

The fourth proportional to 221,264.64, 331,900.80 and 55,053.12 is: 82,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,264.64 : 331,900.80 = 55,053.12 : x
  2. Step 2: Convert to fraction form
    221,264.64/331,900.80 = 55,053.12/x
  3. Step 3: Cross multiply
    221,264.64x = 331,900.80 × 55,053.12
  4. Step 4: Simplify right side
    221,264.64x = 18,272,174,570.50
  5. Step 5: Solve for x
    x = 18,272,174,570.50/221,264.64
  6. Step 6: Final answer
    x = 82,580.64

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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.