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Finding the Fourth Proportional to 219,434.61, 329,197.03 and 99,433.92

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Solution

The fourth proportional to 219,434.61, 329,197.03 and 99,433.92 is: 149,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,434.61 : 329,197.03 = 99,433.92 : x
  2. Step 2: Convert to fraction form
    219,434.61/329,197.03 = 99,433.92/x
  3. Step 3: Cross multiply
    219,434.61x = 329,197.03 × 99,433.92
  4. Step 4: Simplify right side
    219,434.61x = 32,733,352,131.16
  5. Step 5: Solve for x
    x = 32,733,352,131.16/219,434.61
  6. Step 6: Final answer
    x = 149,171.33

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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.