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Finding the Fourth Proportional to 258,127.50, 356,215.95 and 144,950.25

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Solution

The fourth proportional to 258,127.50, 356,215.95 and 144,950.25 is: 200,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,127.50 : 356,215.95 = 144,950.25 : x
  2. Step 2: Convert to fraction form
    258,127.50/356,215.95 = 144,950.25/x
  3. Step 3: Cross multiply
    258,127.50x = 356,215.95 × 144,950.25
  4. Step 4: Simplify right side
    258,127.50x = 51,633,591,006.49
  5. Step 5: Solve for x
    x = 51,633,591,006.49/258,127.50
  6. Step 6: Final answer
    x = 200,031.35

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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.