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Finding the Fourth Proportional to 154,411.60, 231,617.40 and 65,642.80

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Solution

The fourth proportional to 154,411.60, 231,617.40 and 65,642.80 is: 98,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,411.60 : 231,617.40 = 65,642.80 : x
  2. Step 2: Convert to fraction form
    154,411.60/231,617.40 = 65,642.80/x
  3. Step 3: Cross multiply
    154,411.60x = 231,617.40 × 65,642.80
  4. Step 4: Simplify right side
    154,411.60x = 15,204,014,664.72
  5. Step 5: Solve for x
    x = 15,204,014,664.72/154,411.60
  6. Step 6: Final answer
    x = 98,464.20

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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.