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Finding the Fourth Proportional to 146,820.30, 220,230.45 and 53,313.90

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Solution

The fourth proportional to 146,820.30, 220,230.45 and 53,313.90 is: 79,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,820.30 : 220,230.45 = 53,313.90 : x
  2. Step 2: Convert to fraction form
    146,820.30/220,230.45 = 53,313.90/x
  3. Step 3: Cross multiply
    146,820.30x = 220,230.45 × 53,313.90
  4. Step 4: Simplify right side
    146,820.30x = 11,741,344,188.26
  5. Step 5: Solve for x
    x = 11,741,344,188.26/146,820.30
  6. Step 6: Final answer
    x = 79,970.85

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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.