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Finding the Fourth Proportional to 154,313.61, 231,470.52 and 65,504.88

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Solution

The fourth proportional to 154,313.61, 231,470.52 and 65,504.88 is: 98,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,313.61 : 231,470.52 = 65,504.88 : x
  2. Step 2: Convert to fraction form
    154,313.61/231,470.52 = 65,504.88/x
  3. Step 3: Cross multiply
    154,313.61x = 231,470.52 × 65,504.88
  4. Step 4: Simplify right side
    154,313.61x = 15,162,448,636.14
  5. Step 5: Solve for x
    x = 15,162,448,636.14/154,313.61
  6. Step 6: Final answer
    x = 98,257.36

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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.