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Finding the Fourth Proportional to 258,718, 357,030.75 and 145,540.75

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Solution

The fourth proportional to 258,718, 357,030.75 and 145,540.75 is: 200,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,718 : 357,030.75 = 145,540.75 : x
  2. Step 2: Convert to fraction form
    258,718/357,030.75 = 145,540.75/x
  3. Step 3: Cross multiply
    258,718x = 357,030.75 × 145,540.75
  4. Step 4: Simplify right side
    258,718x = 51,962,523,128.06
  5. Step 5: Solve for x
    x = 51,962,523,128.06/258,718
  6. Step 6: Final answer
    x = 200,846.18

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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.