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Finding the Fourth Proportional to 146,220, 219,330.72 and 35,412

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Solution

The fourth proportional to 146,220, 219,330.72 and 35,412 is: 53,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,220 : 219,330.72 = 35,412 : x
  2. Step 2: Convert to fraction form
    146,220/219,330.72 = 35,412/x
  3. Step 3: Cross multiply
    146,220x = 219,330.72 × 35,412
  4. Step 4: Simplify right side
    146,220x = 7,766,939,456.64
  5. Step 5: Solve for x
    x = 7,766,939,456.64/146,220
  6. Step 6: Final answer
    x = 53,118.17

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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.