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Finding the Fourth Proportional to 148,859.20, 223,288.80 and 38,051.20

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Solution

The fourth proportional to 148,859.20, 223,288.80 and 38,051.20 is: 57,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,859.20 : 223,288.80 = 38,051.20 : x
  2. Step 2: Convert to fraction form
    148,859.20/223,288.80 = 38,051.20/x
  3. Step 3: Cross multiply
    148,859.20x = 223,288.80 × 38,051.20
  4. Step 4: Simplify right side
    148,859.20x = 8,496,406,786.56
  5. Step 5: Solve for x
    x = 8,496,406,786.56/148,859.20
  6. Step 6: Final answer
    x = 57,076.80

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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.