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Finding the Fourth Proportional to 133,860.98, 200,786 and 54,973.16

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Solution

The fourth proportional to 133,860.98, 200,786 and 54,973.16 is: 82,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,860.98 : 200,786 = 54,973.16 : x
  2. Step 2: Convert to fraction form
    133,860.98/200,786 = 54,973.16/x
  3. Step 3: Cross multiply
    133,860.98x = 200,786 × 54,973.16
  4. Step 4: Simplify right side
    133,860.98x = 11,037,840,903.76
  5. Step 5: Solve for x
    x = 11,037,840,903.76/133,860.98
  6. Step 6: Final answer
    x = 82,457.49

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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.