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Finding the Fourth Proportional to 258,915.88, 357,295.62 and 145,723.24

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Solution

The fourth proportional to 258,915.88, 357,295.62 and 145,723.24 is: 201,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,915.88 : 357,295.62 = 145,723.24 : x
  2. Step 2: Convert to fraction form
    258,915.88/357,295.62 = 145,723.24/x
  3. Step 3: Cross multiply
    258,915.88x = 357,295.62 × 145,723.24
  4. Step 4: Simplify right side
    258,915.88x = 52,066,275,384.21
  5. Step 5: Solve for x
    x = 52,066,275,384.21/258,915.88
  6. Step 6: Final answer
    x = 201,093.40

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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.