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Finding the Fourth Proportional to 259,755.49, 358,459.06 and 145,035.91

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Solution

The fourth proportional to 259,755.49, 358,459.06 and 145,035.91 is: 200,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,755.49 : 358,459.06 = 145,035.91 : x
  2. Step 2: Convert to fraction form
    259,755.49/358,459.06 = 145,035.91/x
  3. Step 3: Cross multiply
    259,755.49x = 358,459.06 × 145,035.91
  4. Step 4: Simplify right side
    259,755.49x = 51,989,435,964.84
  5. Step 5: Solve for x
    x = 51,989,435,964.84/259,755.49
  6. Step 6: Final answer
    x = 200,147.59

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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.