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Finding the Fourth Proportional to 219,762.70, 329,419.88 and 86,588.98

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Solution

The fourth proportional to 219,762.70, 329,419.88 and 86,588.98 is: 129,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,762.70 : 329,419.88 = 86,588.98 : x
  2. Step 2: Convert to fraction form
    219,762.70/329,419.88 = 86,588.98/x
  3. Step 3: Cross multiply
    219,762.70x = 329,419.88 × 86,588.98
  4. Step 4: Simplify right side
    219,762.70x = 28,524,131,400.92
  5. Step 5: Solve for x
    x = 28,524,131,400.92/219,762.70
  6. Step 6: Final answer
    x = 129,795.14

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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.