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Finding the Fourth Proportional to 154,424.80, 231,464.40 and 65,663.20

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Solution

The fourth proportional to 154,424.80, 231,464.40 and 65,663.20 is: 98,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,424.80 : 231,464.40 = 65,663.20 : x
  2. Step 2: Convert to fraction form
    154,424.80/231,464.40 = 65,663.20/x
  3. Step 3: Cross multiply
    154,424.80x = 231,464.40 × 65,663.20
  4. Step 4: Simplify right side
    154,424.80x = 15,198,693,190.08
  5. Step 5: Solve for x
    x = 15,198,693,190.08/154,424.80
  6. Step 6: Final answer
    x = 98,421.32

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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.