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Finding the Fourth Proportional to 154,081.60, 231,007.20 and 65,262.40

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Solution

The fourth proportional to 154,081.60, 231,007.20 and 65,262.40 is: 97,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,081.60 : 231,007.20 = 65,262.40 : x
  2. Step 2: Convert to fraction form
    154,081.60/231,007.20 = 65,262.40/x
  3. Step 3: Cross multiply
    154,081.60x = 231,007.20 × 65,262.40
  4. Step 4: Simplify right side
    154,081.60x = 15,076,084,289.28
  5. Step 5: Solve for x
    x = 15,076,084,289.28/154,081.60
  6. Step 6: Final answer
    x = 97,844.81

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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.