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Finding the Fourth Proportional to 133,697.40, 200,411.14 and 83,812.53

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Solution

The fourth proportional to 133,697.40, 200,411.14 and 83,812.53 is: 125,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,697.40 : 200,411.14 = 83,812.53 : x
  2. Step 2: Convert to fraction form
    133,697.40/200,411.14 = 83,812.53/x
  3. Step 3: Cross multiply
    133,697.40x = 200,411.14 × 83,812.53
  4. Step 4: Simplify right side
    133,697.40x = 16,796,964,975.08
  5. Step 5: Solve for x
    x = 16,796,964,975.08/133,697.40
  6. Step 6: Final answer
    x = 125,634.20

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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.