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Finding the Fourth Proportional to 252,158.80, 377,995.20 and 145,433.20

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Solution

The fourth proportional to 252,158.80, 377,995.20 and 145,433.20 is: 218,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,158.80 : 377,995.20 = 145,433.20 : x
  2. Step 2: Convert to fraction form
    252,158.80/377,995.20 = 145,433.20/x
  3. Step 3: Cross multiply
    252,158.80x = 377,995.20 × 145,433.20
  4. Step 4: Simplify right side
    252,158.80x = 54,973,051,520.64
  5. Step 5: Solve for x
    x = 54,973,051,520.64/252,158.80
  6. Step 6: Final answer
    x = 218,009.65

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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.