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Finding the Fourth Proportional to 153,996, 231,086.16 and 66,444

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Solution

The fourth proportional to 153,996, 231,086.16 and 66,444 is: 99,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,996 : 231,086.16 = 66,444 : x
  2. Step 2: Convert to fraction form
    153,996/231,086.16 = 66,444/x
  3. Step 3: Cross multiply
    153,996x = 231,086.16 × 66,444
  4. Step 4: Simplify right side
    153,996x = 15,354,288,815.04
  5. Step 5: Solve for x
    x = 15,354,288,815.04/153,996
  6. Step 6: Final answer
    x = 99,705.76

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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.