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Finding the Fourth Proportional to 258,721.80, 357,035.58 and 145,544.64

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Solution

The fourth proportional to 258,721.80, 357,035.58 and 145,544.64 is: 200,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,721.80 : 357,035.58 = 145,544.64 : x
  2. Step 2: Convert to fraction form
    258,721.80/357,035.58 = 145,544.64/x
  3. Step 3: Cross multiply
    258,721.80x = 357,035.58 × 145,544.64
  4. Step 4: Simplify right side
    258,721.80x = 51,964,614,958.29
  5. Step 5: Solve for x
    x = 51,964,614,958.29/258,721.80
  6. Step 6: Final answer
    x = 200,851.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.