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Finding the Fourth Proportional to 154,422.40, 231,633.60 and 152,089.60

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Solution

The fourth proportional to 154,422.40, 231,633.60 and 152,089.60 is: 228,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,422.40 : 231,633.60 = 152,089.60 : x
  2. Step 2: Convert to fraction form
    154,422.40/231,633.60 = 152,089.60/x
  3. Step 3: Cross multiply
    154,422.40x = 231,633.60 × 152,089.60
  4. Step 4: Simplify right side
    154,422.40x = 35,229,061,570.56
  5. Step 5: Solve for x
    x = 35,229,061,570.56/154,422.40
  6. Step 6: Final answer
    x = 228,134.40

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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.