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Finding the Fourth Proportional to 221,348, 332,018.88 and 102,953.12

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Solution

The fourth proportional to 221,348, 332,018.88 and 102,953.12 is: 154,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,348 : 332,018.88 = 102,953.12 : x
  2. Step 2: Convert to fraction form
    221,348/332,018.88 = 102,953.12/x
  3. Step 3: Cross multiply
    221,348x = 332,018.88 × 102,953.12
  4. Step 4: Simplify right side
    221,348x = 34,182,379,594.91
  5. Step 5: Solve for x
    x = 34,182,379,594.91/221,348
  6. Step 6: Final answer
    x = 154,428.23

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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.