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Finding the Fourth Proportional to 153,986, 230,987.76 and 43,186.64

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Solution

The fourth proportional to 153,986, 230,987.76 and 43,186.64 is: 64,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,986 : 230,987.76 = 43,186.64 : x
  2. Step 2: Convert to fraction form
    153,986/230,987.76 = 43,186.64/x
  3. Step 3: Cross multiply
    153,986x = 230,987.76 × 43,186.64
  4. Step 4: Simplify right side
    153,986x = 9,975,585,235.53
  5. Step 5: Solve for x
    x = 9,975,585,235.53/153,986
  6. Step 6: Final answer
    x = 64,782.42

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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.