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Finding the Fourth Proportional to 153,970.68, 231,080.42 and 65,286.46

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Solution

The fourth proportional to 153,970.68, 231,080.42 and 65,286.46 is: 97,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,970.68 : 231,080.42 = 65,286.46 : x
  2. Step 2: Convert to fraction form
    153,970.68/231,080.42 = 65,286.46/x
  3. Step 3: Cross multiply
    153,970.68x = 231,080.42 × 65,286.46
  4. Step 4: Simplify right side
    153,970.68x = 15,086,422,597.11
  5. Step 5: Solve for x
    x = 15,086,422,597.11/153,970.68
  6. Step 6: Final answer
    x = 97,982.44

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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.