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Finding the Fourth Proportional to 145,333.80, 218,000.70 and 122,524.20

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Solution

The fourth proportional to 145,333.80, 218,000.70 and 122,524.20 is: 183,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,333.80 : 218,000.70 = 122,524.20 : x
  2. Step 2: Convert to fraction form
    145,333.80/218,000.70 = 122,524.20/x
  3. Step 3: Cross multiply
    145,333.80x = 218,000.70 × 122,524.20
  4. Step 4: Simplify right side
    145,333.80x = 26,710,361,366.94
  5. Step 5: Solve for x
    x = 26,710,361,366.94/145,333.80
  6. Step 6: Final answer
    x = 183,786.30

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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.