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Finding the Fourth Proportional to 146,215.80, 219,323.70 and 90,410.85

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Solution

The fourth proportional to 146,215.80, 219,323.70 and 90,410.85 is: 135,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,215.80 : 219,323.70 = 90,410.85 : x
  2. Step 2: Convert to fraction form
    146,215.80/219,323.70 = 90,410.85/x
  3. Step 3: Cross multiply
    146,215.80x = 219,323.70 × 90,410.85
  4. Step 4: Simplify right side
    146,215.80x = 19,829,242,142.15
  5. Step 5: Solve for x
    x = 19,829,242,142.15/146,215.80
  6. Step 6: Final answer
    x = 135,616.28

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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.