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Finding the Fourth Proportional to 146,643.92, 219,965.88 and 53,118.80

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Solution

The fourth proportional to 146,643.92, 219,965.88 and 53,118.80 is: 79,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,643.92 : 219,965.88 = 53,118.80 : x
  2. Step 2: Convert to fraction form
    146,643.92/219,965.88 = 53,118.80/x
  3. Step 3: Cross multiply
    146,643.92x = 219,965.88 × 53,118.80
  4. Step 4: Simplify right side
    146,643.92x = 11,684,323,586.54
  5. Step 5: Solve for x
    x = 11,684,323,586.54/146,643.92
  6. Step 6: Final answer
    x = 79,678.20

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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.