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Finding the Fourth Proportional to 219,405.64, 329,158.14 and 69,655

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Solution

The fourth proportional to 219,405.64, 329,158.14 and 69,655 is: 104,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,405.64 : 329,158.14 = 69,655 : x
  2. Step 2: Convert to fraction form
    219,405.64/329,158.14 = 69,655/x
  3. Step 3: Cross multiply
    219,405.64x = 329,158.14 × 69,655
  4. Step 4: Simplify right side
    219,405.64x = 22,927,510,241.70
  5. Step 5: Solve for x
    x = 22,927,510,241.70/219,405.64
  6. Step 6: Final answer
    x = 104,498.27

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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.