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Finding the Fourth Proportional to 219,691.76, 329,419.06 and 99,683.22

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Solution

The fourth proportional to 219,691.76, 329,419.06 and 99,683.22 is: 149,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,691.76 : 329,419.06 = 99,683.22 : x
  2. Step 2: Convert to fraction form
    219,691.76/329,419.06 = 99,683.22/x
  3. Step 3: Cross multiply
    219,691.76x = 329,419.06 × 99,683.22
  4. Step 4: Simplify right side
    219,691.76x = 32,837,552,630.17
  5. Step 5: Solve for x
    x = 32,837,552,630.17/219,691.76
  6. Step 6: Final answer
    x = 149,471.03

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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.