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Finding the Fourth Proportional to 205,136.84, 307,842.70 and 72,017.49

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Solution

The fourth proportional to 205,136.84, 307,842.70 and 72,017.49 is: 108,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,136.84 : 307,842.70 = 72,017.49 : x
  2. Step 2: Convert to fraction form
    205,136.84/307,842.70 = 72,017.49/x
  3. Step 3: Cross multiply
    205,136.84x = 307,842.70 × 72,017.49
  4. Step 4: Simplify right side
    205,136.84x = 22,170,058,568.82
  5. Step 5: Solve for x
    x = 22,170,058,568.82/205,136.84
  6. Step 6: Final answer
    x = 108,074.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.