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Finding the Fourth Proportional to 258,689.70, 356,990.49 and 145,513.26

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Solution

The fourth proportional to 258,689.70, 356,990.49 and 145,513.26 is: 200,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,689.70 : 356,990.49 = 145,513.26 : x
  2. Step 2: Convert to fraction form
    258,689.70/356,990.49 = 145,513.26/x
  3. Step 3: Cross multiply
    258,689.70x = 356,990.49 × 145,513.26
  4. Step 4: Simplify right side
    258,689.70x = 51,946,849,988.90
  5. Step 5: Solve for x
    x = 51,946,849,988.90/258,689.70
  6. Step 6: Final answer
    x = 200,807.57

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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.