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Finding the Fourth Proportional to 258,795, 357,142.57 and 145,617.75

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Solution

The fourth proportional to 258,795, 357,142.57 and 145,617.75 is: 200,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,795 : 357,142.57 = 145,617.75 : x
  2. Step 2: Convert to fraction form
    258,795/357,142.57 = 145,617.75/x
  3. Step 3: Cross multiply
    258,795x = 357,142.57 × 145,617.75
  4. Step 4: Simplify right side
    258,795x = 52,006,297,108.57
  5. Step 5: Solve for x
    x = 52,006,297,108.57/258,795
  6. Step 6: Final answer
    x = 200,955.57

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1.5x scale

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.