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Finding the Fourth Proportional to 219,883.90, 329,796.69 and 120,156.70

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Solution

The fourth proportional to 219,883.90, 329,796.69 and 120,156.70 is: 180,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,883.90 : 329,796.69 = 120,156.70 : x
  2. Step 2: Convert to fraction form
    219,883.90/329,796.69 = 120,156.70/x
  3. Step 3: Cross multiply
    219,883.90x = 329,796.69 × 120,156.70
  4. Step 4: Simplify right side
    219,883.90x = 39,627,281,941.32
  5. Step 5: Solve for x
    x = 39,627,281,941.32/219,883.90
  6. Step 6: Final answer
    x = 180,219.12

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1.5x scale

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.