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Finding the Fourth Proportional to 154,021.80, 231,000.30 and 65,278.20

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Solution

The fourth proportional to 154,021.80, 231,000.30 and 65,278.20 is: 97,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,021.80 : 231,000.30 = 65,278.20 : x
  2. Step 2: Convert to fraction form
    154,021.80/231,000.30 = 65,278.20/x
  3. Step 3: Cross multiply
    154,021.80x = 231,000.30 × 65,278.20
  4. Step 4: Simplify right side
    154,021.80x = 15,079,283,783.46
  5. Step 5: Solve for x
    x = 15,079,283,783.46/154,021.80
  6. Step 6: Final answer
    x = 97,903.57

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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.