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Finding the Fourth Proportional to 221,588.34, 332,384.13 and 81,347.10

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Solution

The fourth proportional to 221,588.34, 332,384.13 and 81,347.10 is: 122,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,588.34 : 332,384.13 = 81,347.10 : x
  2. Step 2: Convert to fraction form
    221,588.34/332,384.13 = 81,347.10/x
  3. Step 3: Cross multiply
    221,588.34x = 332,384.13 × 81,347.10
  4. Step 4: Simplify right side
    221,588.34x = 27,038,485,061.52
  5. Step 5: Solve for x
    x = 27,038,485,061.52/221,588.34
  6. Step 6: Final answer
    x = 122,021.24

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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.