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Finding the Fourth Proportional to 146,220, 219,331.20 and 35,412

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Solution

The fourth proportional to 146,220, 219,331.20 and 35,412 is: 53,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,220 : 219,331.20 = 35,412 : x
  2. Step 2: Convert to fraction form
    146,220/219,331.20 = 35,412/x
  3. Step 3: Cross multiply
    146,220x = 219,331.20 × 35,412
  4. Step 4: Simplify right side
    146,220x = 7,766,956,454.40
  5. Step 5: Solve for x
    x = 7,766,956,454.40/146,220
  6. Step 6: Final answer
    x = 53,118.29

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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.