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Finding the Fourth Proportional to 219,742.32, 329,626.35 and 84,807.11

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Solution

The fourth proportional to 219,742.32, 329,626.35 and 84,807.11 is: 127,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,742.32 : 329,626.35 = 84,807.11 : x
  2. Step 2: Convert to fraction form
    219,742.32/329,626.35 = 84,807.11/x
  3. Step 3: Cross multiply
    219,742.32x = 329,626.35 × 84,807.11
  4. Step 4: Simplify right side
    219,742.32x = 27,954,656,475.22
  5. Step 5: Solve for x
    x = 27,954,656,475.22/219,742.32
  6. Step 6: Final answer
    x = 127,215.62

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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.