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Finding the Fourth Proportional to 133,695.81, 200,408.76 and 83,810.94

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Solution

The fourth proportional to 133,695.81, 200,408.76 and 83,810.94 is: 125,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.81 : 200,408.76 = 83,810.94 : x
  2. Step 2: Convert to fraction form
    133,695.81/200,408.76 = 83,810.94/x
  3. Step 3: Cross multiply
    133,695.81x = 200,408.76 × 83,810.94
  4. Step 4: Simplify right side
    133,695.81x = 16,796,446,559.83
  5. Step 5: Solve for x
    x = 16,796,446,559.83/133,695.81
  6. Step 6: Final answer
    x = 125,631.81

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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.