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Finding the Fourth Proportional to 133,568.04, 200,034.03 and 77,289.55

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Solution

The fourth proportional to 133,568.04, 200,034.03 and 77,289.55 is: 115,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568.04 : 200,034.03 = 77,289.55 : x
  2. Step 2: Convert to fraction form
    133,568.04/200,034.03 = 77,289.55/x
  3. Step 3: Cross multiply
    133,568.04x = 200,034.03 × 77,289.55
  4. Step 4: Simplify right side
    133,568.04x = 15,460,539,953.14
  5. Step 5: Solve for x
    x = 15,460,539,953.14/133,568.04
  6. Step 6: Final answer
    x = 115,750.29

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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.